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Finding the Fourth Proportional to 2,434.01, 3,653.75 and 974.19

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Solution

The fourth proportional to 2,434.01, 3,653.75 and 974.19 is: 1,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.01 : 3,653.75 = 974.19 : x
  2. Step 2: Convert to fraction form
    2,434.01/3,653.75 = 974.19/x
  3. Step 3: Cross multiply
    2,434.01x = 3,653.75 × 974.19
  4. Step 4: Simplify right side
    2,434.01x = 3,559,446.71
  5. Step 5: Solve for x
    x = 3,559,446.71/2,434.01
  6. Step 6: Final answer
    x = 1,462.38

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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.