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Finding the Fourth Proportional to 1,714.34, 2,571.87 and 560.18

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Solution

The fourth proportional to 1,714.34, 2,571.87 and 560.18 is: 840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.34 : 2,571.87 = 560.18 : x
  2. Step 2: Convert to fraction form
    1,714.34/2,571.87 = 560.18/x
  3. Step 3: Cross multiply
    1,714.34x = 2,571.87 × 560.18
  4. Step 4: Simplify right side
    1,714.34x = 1,440,710.14
  5. Step 5: Solve for x
    x = 1,440,710.14/1,714.34
  6. Step 6: Final answer
    x = 840.39

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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.