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Finding the Fourth Proportional to 1,714.16, 2,572.23 and 934.13

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Solution

The fourth proportional to 1,714.16, 2,572.23 and 934.13 is: 1,401.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.16 : 2,572.23 = 934.13 : x
  2. Step 2: Convert to fraction form
    1,714.16/2,572.23 = 934.13/x
  3. Step 3: Cross multiply
    1,714.16x = 2,572.23 × 934.13
  4. Step 4: Simplify right side
    1,714.16x = 2,402,797.21
  5. Step 5: Solve for x
    x = 2,402,797.21/1,714.16
  6. Step 6: Final answer
    x = 1,401.73

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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.