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Finding the Fourth Proportional to 2,397.85, 3,594.64 and 938.02

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Solution

The fourth proportional to 2,397.85, 3,594.64 and 938.02 is: 1,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.85 : 3,594.64 = 938.02 : x
  2. Step 2: Convert to fraction form
    2,397.85/3,594.64 = 938.02/x
  3. Step 3: Cross multiply
    2,397.85x = 3,594.64 × 938.02
  4. Step 4: Simplify right side
    2,397.85x = 3,371,844.21
  5. Step 5: Solve for x
    x = 3,371,844.21/2,397.85
  6. Step 6: Final answer
    x = 1,406.19

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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.