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Finding the Fourth Proportional to 2,881.64, 4,320.99 and 1,032.44

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Solution

The fourth proportional to 2,881.64, 4,320.99 and 1,032.44 is: 1,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.64 : 4,320.99 = 1,032.44 : x
  2. Step 2: Convert to fraction form
    2,881.64/4,320.99 = 1,032.44/x
  3. Step 3: Cross multiply
    2,881.64x = 4,320.99 × 1,032.44
  4. Step 4: Simplify right side
    2,881.64x = 4,461,162.92
  5. Step 5: Solve for x
    x = 4,461,162.92/2,881.64
  6. Step 6: Final answer
    x = 1,548.13

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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.