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Finding the Fourth Proportional to 2,869.44, 4,304.16 and 1,138.08

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Solution

The fourth proportional to 2,869.44, 4,304.16 and 1,138.08 is: 1,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.44 : 4,304.16 = 1,138.08 : x
  2. Step 2: Convert to fraction form
    2,869.44/4,304.16 = 1,138.08/x
  3. Step 3: Cross multiply
    2,869.44x = 4,304.16 × 1,138.08
  4. Step 4: Simplify right side
    2,869.44x = 4,898,478.41
  5. Step 5: Solve for x
    x = 4,898,478.41/2,869.44
  6. Step 6: Final answer
    x = 1,707.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.