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Finding the Fourth Proportional to 2,402.16, 3,314.87 and 1,339.74

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Solution

The fourth proportional to 2,402.16, 3,314.87 and 1,339.74 is: 1,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.16 : 3,314.87 = 1,339.74 : x
  2. Step 2: Convert to fraction form
    2,402.16/3,314.87 = 1,339.74/x
  3. Step 3: Cross multiply
    2,402.16x = 3,314.87 × 1,339.74
  4. Step 4: Simplify right side
    2,402.16x = 4,441,057.24
  5. Step 5: Solve for x
    x = 4,441,057.24/2,402.16
  6. Step 6: Final answer
    x = 1,848.77

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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.