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Finding the Fourth Proportional to 1,659.30, 2,490.58 and 1,265.64

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Solution

The fourth proportional to 1,659.30, 2,490.58 and 1,265.64 is: 1,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.30 : 2,490.58 = 1,265.64 : x
  2. Step 2: Convert to fraction form
    1,659.30/2,490.58 = 1,265.64/x
  3. Step 3: Cross multiply
    1,659.30x = 2,490.58 × 1,265.64
  4. Step 4: Simplify right side
    1,659.30x = 3,152,177.67
  5. Step 5: Solve for x
    x = 3,152,177.67/1,659.30
  6. Step 6: Final answer
    x = 1,899.70

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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.