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Finding the Fourth Proportional to 2,397.72, 3,594.14 and 934.86

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Solution

The fourth proportional to 2,397.72, 3,594.14 and 934.86 is: 1,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.72 : 3,594.14 = 934.86 : x
  2. Step 2: Convert to fraction form
    2,397.72/3,594.14 = 934.86/x
  3. Step 3: Cross multiply
    2,397.72x = 3,594.14 × 934.86
  4. Step 4: Simplify right side
    2,397.72x = 3,360,017.72
  5. Step 5: Solve for x
    x = 3,360,017.72/2,397.72
  6. Step 6: Final answer
    x = 1,401.34

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