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Finding the Fourth Proportional to 2,283.84, 3,426.60 and 1,187.52

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Solution

The fourth proportional to 2,283.84, 3,426.60 and 1,187.52 is: 1,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.84 : 3,426.60 = 1,187.52 : x
  2. Step 2: Convert to fraction form
    2,283.84/3,426.60 = 1,187.52/x
  3. Step 3: Cross multiply
    2,283.84x = 3,426.60 × 1,187.52
  4. Step 4: Simplify right side
    2,283.84x = 4,069,156.03
  5. Step 5: Solve for x
    x = 4,069,156.03/2,283.84
  6. Step 6: Final answer
    x = 1,781.72

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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.