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Finding the Fourth Proportional to 1,675.98, 2,314.22 and 1,087.52

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Solution

The fourth proportional to 1,675.98, 2,314.22 and 1,087.52 is: 1,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.98 : 2,314.22 = 1,087.52 : x
  2. Step 2: Convert to fraction form
    1,675.98/2,314.22 = 1,087.52/x
  3. Step 3: Cross multiply
    1,675.98x = 2,314.22 × 1,087.52
  4. Step 4: Simplify right side
    1,675.98x = 2,516,743.53
  5. Step 5: Solve for x
    x = 2,516,743.53/1,675.98
  6. Step 6: Final answer
    x = 1,501.65

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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.