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Finding the Fourth Proportional to 1,687.49, 2,526.60 and 1,275.40

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Solution

The fourth proportional to 1,687.49, 2,526.60 and 1,275.40 is: 1,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.49 : 2,526.60 = 1,275.40 : x
  2. Step 2: Convert to fraction form
    1,687.49/2,526.60 = 1,275.40/x
  3. Step 3: Cross multiply
    1,687.49x = 2,526.60 × 1,275.40
  4. Step 4: Simplify right side
    1,687.49x = 3,222,425.64
  5. Step 5: Solve for x
    x = 3,222,425.64/1,687.49
  6. Step 6: Final answer
    x = 1,909.60

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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.