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Finding the Fourth Proportional to 1,788.03, 2,464.47 and 1,257.08

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Solution

The fourth proportional to 1,788.03, 2,464.47 and 1,257.08 is: 1,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.03 : 2,464.47 = 1,257.08 : x
  2. Step 2: Convert to fraction form
    1,788.03/2,464.47 = 1,257.08/x
  3. Step 3: Cross multiply
    1,788.03x = 2,464.47 × 1,257.08
  4. Step 4: Simplify right side
    1,788.03x = 3,098,023.63
  5. Step 5: Solve for x
    x = 3,098,023.63/1,788.03
  6. Step 6: Final answer
    x = 1,732.65

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