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Finding the Fourth Proportional to 1,781, 2,456.70 and 1,150.52

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Solution

The fourth proportional to 1,781, 2,456.70 and 1,150.52 is: 1,587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781 : 2,456.70 = 1,150.52 : x
  2. Step 2: Convert to fraction form
    1,781/2,456.70 = 1,150.52/x
  3. Step 3: Cross multiply
    1,781x = 2,456.70 × 1,150.52
  4. Step 4: Simplify right side
    1,781x = 2,826,482.48
  5. Step 5: Solve for x
    x = 2,826,482.48/1,781
  6. Step 6: Final answer
    x = 1,587.02

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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.