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Finding the Fourth Proportional to 2,872.04, 4,309.64 and 1,411.20

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Solution

The fourth proportional to 2,872.04, 4,309.64 and 1,411.20 is: 2,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.04 : 4,309.64 = 1,411.20 : x
  2. Step 2: Convert to fraction form
    2,872.04/4,309.64 = 1,411.20/x
  3. Step 3: Cross multiply
    2,872.04x = 4,309.64 × 1,411.20
  4. Step 4: Simplify right side
    2,872.04x = 6,081,763.97
  5. Step 5: Solve for x
    x = 6,081,763.97/2,872.04
  6. Step 6: Final answer
    x = 2,117.58

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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.