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Finding the Fourth Proportional to 1,714.61, 2,565.96 and 1,056.20

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Solution

The fourth proportional to 1,714.61, 2,565.96 and 1,056.20 is: 1,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.61 : 2,565.96 = 1,056.20 : x
  2. Step 2: Convert to fraction form
    1,714.61/2,565.96 = 1,056.20/x
  3. Step 3: Cross multiply
    1,714.61x = 2,565.96 × 1,056.20
  4. Step 4: Simplify right side
    1,714.61x = 2,710,154.12
  5. Step 5: Solve for x
    x = 2,710,154.12/1,714.61
  6. Step 6: Final answer
    x = 1,580.63

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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.