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Finding the Fourth Proportional to 2,358.42, 3,254.47 and 1,296.17

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Solution

The fourth proportional to 2,358.42, 3,254.47 and 1,296.17 is: 1,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.42 : 3,254.47 = 1,296.17 : x
  2. Step 2: Convert to fraction form
    2,358.42/3,254.47 = 1,296.17/x
  3. Step 3: Cross multiply
    2,358.42x = 3,254.47 × 1,296.17
  4. Step 4: Simplify right side
    2,358.42x = 4,218,326.87
  5. Step 5: Solve for x
    x = 4,218,326.87/2,358.42
  6. Step 6: Final answer
    x = 1,788.62

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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.