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Finding the Fourth Proportional to 2,288.79, 3,432.38 and 1,411.76

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Solution

The fourth proportional to 2,288.79, 3,432.38 and 1,411.76 is: 2,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.79 : 3,432.38 = 1,411.76 : x
  2. Step 2: Convert to fraction form
    2,288.79/3,432.38 = 1,411.76/x
  3. Step 3: Cross multiply
    2,288.79x = 3,432.38 × 1,411.76
  4. Step 4: Simplify right side
    2,288.79x = 4,845,698.31
  5. Step 5: Solve for x
    x = 4,845,698.31/2,288.79
  6. Step 6: Final answer
    x = 2,117.14

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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.