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Finding the Fourth Proportional to 2,557.13, 3,834.70 and 996.93

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Solution

The fourth proportional to 2,557.13, 3,834.70 and 996.93 is: 1,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.13 : 3,834.70 = 996.93 : x
  2. Step 2: Convert to fraction form
    2,557.13/3,834.70 = 996.93/x
  3. Step 3: Cross multiply
    2,557.13x = 3,834.70 × 996.93
  4. Step 4: Simplify right side
    2,557.13x = 3,822,927.47
  5. Step 5: Solve for x
    x = 3,822,927.47/2,557.13
  6. Step 6: Final answer
    x = 1,495.01

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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.