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Finding the Fourth Proportional to 2,869.62, 4,303.47 and 921.36

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Solution

The fourth proportional to 2,869.62, 4,303.47 and 921.36 is: 1,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.62 : 4,303.47 = 921.36 : x
  2. Step 2: Convert to fraction form
    2,869.62/4,303.47 = 921.36/x
  3. Step 3: Cross multiply
    2,869.62x = 4,303.47 × 921.36
  4. Step 4: Simplify right side
    2,869.62x = 3,965,045.12
  5. Step 5: Solve for x
    x = 3,965,045.12/2,869.62
  6. Step 6: Final answer
    x = 1,381.73

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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.