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Finding the Fourth Proportional to 1,781.01, 2,671.86 and 740.45

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Solution

The fourth proportional to 1,781.01, 2,671.86 and 740.45 is: 1,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.01 : 2,671.86 = 740.45 : x
  2. Step 2: Convert to fraction form
    1,781.01/2,671.86 = 740.45/x
  3. Step 3: Cross multiply
    1,781.01x = 2,671.86 × 740.45
  4. Step 4: Simplify right side
    1,781.01x = 1,978,385.42
  5. Step 5: Solve for x
    x = 1,978,385.42/1,781.01
  6. Step 6: Final answer
    x = 1,110.82

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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.