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Finding the Fourth Proportional to 1,788.03, 2,467.54 and 1,002.06

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Solution

The fourth proportional to 1,788.03, 2,467.54 and 1,002.06 is: 1,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.03 : 2,467.54 = 1,002.06 : x
  2. Step 2: Convert to fraction form
    1,788.03/2,467.54 = 1,002.06/x
  3. Step 3: Cross multiply
    1,788.03x = 2,467.54 × 1,002.06
  4. Step 4: Simplify right side
    1,788.03x = 2,472,623.13
  5. Step 5: Solve for x
    x = 2,472,623.13/1,788.03
  6. Step 6: Final answer
    x = 1,382.88

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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.