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Finding the Fourth Proportional to 1,714.87, 2,572.08 and 740.17

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Solution

The fourth proportional to 1,714.87, 2,572.08 and 740.17 is: 1,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.87 : 2,572.08 = 740.17 : x
  2. Step 2: Convert to fraction form
    1,714.87/2,572.08 = 740.17/x
  3. Step 3: Cross multiply
    1,714.87x = 2,572.08 × 740.17
  4. Step 4: Simplify right side
    1,714.87x = 1,903,776.45
  5. Step 5: Solve for x
    x = 1,903,776.45/1,714.87
  6. Step 6: Final answer
    x = 1,110.16

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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.