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Finding the Fourth Proportional to 1,252.72, 1,877.46 and 1,070.20

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Solution

The fourth proportional to 1,252.72, 1,877.46 and 1,070.20 is: 1,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.72 : 1,877.46 = 1,070.20 : x
  2. Step 2: Convert to fraction form
    1,252.72/1,877.46 = 1,070.20/x
  3. Step 3: Cross multiply
    1,252.72x = 1,877.46 × 1,070.20
  4. Step 4: Simplify right side
    1,252.72x = 2,009,257.69
  5. Step 5: Solve for x
    x = 2,009,257.69/1,252.72
  6. Step 6: Final answer
    x = 1,603.92

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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.