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Finding the Fourth Proportional to 2,364.01, 3,545.51 and 976.99

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Solution

The fourth proportional to 2,364.01, 3,545.51 and 976.99 is: 1,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.01 : 3,545.51 = 976.99 : x
  2. Step 2: Convert to fraction form
    2,364.01/3,545.51 = 976.99/x
  3. Step 3: Cross multiply
    2,364.01x = 3,545.51 × 976.99
  4. Step 4: Simplify right side
    2,364.01x = 3,463,927.81
  5. Step 5: Solve for x
    x = 3,463,927.81/2,364.01
  6. Step 6: Final answer
    x = 1,465.28

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.