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Finding the Fourth Proportional to 2,291.34, 3,432.22 and 1,465.42

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Solution

The fourth proportional to 2,291.34, 3,432.22 and 1,465.42 is: 2,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.34 : 3,432.22 = 1,465.42 : x
  2. Step 2: Convert to fraction form
    2,291.34/3,432.22 = 1,465.42/x
  3. Step 3: Cross multiply
    2,291.34x = 3,432.22 × 1,465.42
  4. Step 4: Simplify right side
    2,291.34x = 5,029,643.83
  5. Step 5: Solve for x
    x = 5,029,643.83/2,291.34
  6. Step 6: Final answer
    x = 2,195.07

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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.