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Finding the Fourth Proportional to 1,252.60, 1,875.96 and 1,065.44

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Solution

The fourth proportional to 1,252.60, 1,875.96 and 1,065.44 is: 1,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.60 : 1,875.96 = 1,065.44 : x
  2. Step 2: Convert to fraction form
    1,252.60/1,875.96 = 1,065.44/x
  3. Step 3: Cross multiply
    1,252.60x = 1,875.96 × 1,065.44
  4. Step 4: Simplify right side
    1,252.60x = 1,998,722.82
  5. Step 5: Solve for x
    x = 1,998,722.82/1,252.60
  6. Step 6: Final answer
    x = 1,595.66

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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.