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Finding the Fourth Proportional to 2,291.84, 3,432.96 and 1,465.91

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Solution

The fourth proportional to 2,291.84, 3,432.96 and 1,465.91 is: 2,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.84 : 3,432.96 = 1,465.91 : x
  2. Step 2: Convert to fraction form
    2,291.84/3,432.96 = 1,465.91/x
  3. Step 3: Cross multiply
    2,291.84x = 3,432.96 × 1,465.91
  4. Step 4: Simplify right side
    2,291.84x = 5,032,410.39
  5. Step 5: Solve for x
    x = 5,032,410.39/2,291.84
  6. Step 6: Final answer
    x = 2,195.79

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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.