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Finding the Fourth Proportional to 3,089.43, 4,633.61 and 1,528.92

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Solution

The fourth proportional to 3,089.43, 4,633.61 and 1,528.92 is: 2,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.43 : 4,633.61 = 1,528.92 : x
  2. Step 2: Convert to fraction form
    3,089.43/4,633.61 = 1,528.92/x
  3. Step 3: Cross multiply
    3,089.43x = 4,633.61 × 1,528.92
  4. Step 4: Simplify right side
    3,089.43x = 7,084,411.36
  5. Step 5: Solve for x
    x = 7,084,411.36/3,089.43
  6. Step 6: Final answer
    x = 2,293.11

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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.