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Finding the Fourth Proportional to 1,655.62, 2,285.88 and 1,264.66

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Solution

The fourth proportional to 1,655.62, 2,285.88 and 1,264.66 is: 1,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.62 : 2,285.88 = 1,264.66 : x
  2. Step 2: Convert to fraction form
    1,655.62/2,285.88 = 1,264.66/x
  3. Step 3: Cross multiply
    1,655.62x = 2,285.88 × 1,264.66
  4. Step 4: Simplify right side
    1,655.62x = 2,890,861.00
  5. Step 5: Solve for x
    x = 2,890,861.00/1,655.62
  6. Step 6: Final answer
    x = 1,746.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.