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Finding the Fourth Proportional to 1,404.54, 2,105.67 and 1,250.77

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Solution

The fourth proportional to 1,404.54, 2,105.67 and 1,250.77 is: 1,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.54 : 2,105.67 = 1,250.77 : x
  2. Step 2: Convert to fraction form
    1,404.54/2,105.67 = 1,250.77/x
  3. Step 3: Cross multiply
    1,404.54x = 2,105.67 × 1,250.77
  4. Step 4: Simplify right side
    1,404.54x = 2,633,702.80
  5. Step 5: Solve for x
    x = 2,633,702.80/1,404.54
  6. Step 6: Final answer
    x = 1,875.14

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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.