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Finding the Fourth Proportional to 1,262.46, 1,741.59 and 1,087.50

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Solution

The fourth proportional to 1,262.46, 1,741.59 and 1,087.50 is: 1,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.46 : 1,741.59 = 1,087.50 : x
  2. Step 2: Convert to fraction form
    1,262.46/1,741.59 = 1,087.50/x
  3. Step 3: Cross multiply
    1,262.46x = 1,741.59 × 1,087.50
  4. Step 4: Simplify right side
    1,262.46x = 1,893,979.13
  5. Step 5: Solve for x
    x = 1,893,979.13/1,262.46
  6. Step 6: Final answer
    x = 1,500.23

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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.