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Finding the Fourth Proportional to 1,473.32, 2,034.39 and 1,002.21

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Solution

The fourth proportional to 1,473.32, 2,034.39 and 1,002.21 is: 1,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.32 : 2,034.39 = 1,002.21 : x
  2. Step 2: Convert to fraction form
    1,473.32/2,034.39 = 1,002.21/x
  3. Step 3: Cross multiply
    1,473.32x = 2,034.39 × 1,002.21
  4. Step 4: Simplify right side
    1,473.32x = 2,038,886.00
  5. Step 5: Solve for x
    x = 2,038,886.00/1,473.32
  6. Step 6: Final answer
    x = 1,383.88

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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.