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Finding the Fourth Proportional to 1,473.52, 2,032.10 and 1,002.12

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Solution

The fourth proportional to 1,473.52, 2,032.10 and 1,002.12 is: 1,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.52 : 2,032.10 = 1,002.12 : x
  2. Step 2: Convert to fraction form
    1,473.52/2,032.10 = 1,002.12/x
  3. Step 3: Cross multiply
    1,473.52x = 2,032.10 × 1,002.12
  4. Step 4: Simplify right side
    1,473.52x = 2,036,408.05
  5. Step 5: Solve for x
    x = 2,036,408.05/1,473.52
  6. Step 6: Final answer
    x = 1,382.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.