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Finding the Fourth Proportional to 1,715.16, 2,572.32 and 934.32

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Solution

The fourth proportional to 1,715.16, 2,572.32 and 934.32 is: 1,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.16 : 2,572.32 = 934.32 : x
  2. Step 2: Convert to fraction form
    1,715.16/2,572.32 = 934.32/x
  3. Step 3: Cross multiply
    1,715.16x = 2,572.32 × 934.32
  4. Step 4: Simplify right side
    1,715.16x = 2,403,370.02
  5. Step 5: Solve for x
    x = 2,403,370.02/1,715.16
  6. Step 6: Final answer
    x = 1,401.25

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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.