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Finding the Fourth Proportional to 2,886.52, 4,329.42 and 1,153.84

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Solution

The fourth proportional to 2,886.52, 4,329.42 and 1,153.84 is: 1,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.52 : 4,329.42 = 1,153.84 : x
  2. Step 2: Convert to fraction form
    2,886.52/4,329.42 = 1,153.84/x
  3. Step 3: Cross multiply
    2,886.52x = 4,329.42 × 1,153.84
  4. Step 4: Simplify right side
    2,886.52x = 4,995,457.97
  5. Step 5: Solve for x
    x = 4,995,457.97/2,886.52
  6. Step 6: Final answer
    x = 1,730.62

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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.