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Finding the Fourth Proportional to 2,402.81, 3,314.98 and 1,615.61

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Solution

The fourth proportional to 2,402.81, 3,314.98 and 1,615.61 is: 2,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.81 : 3,314.98 = 1,615.61 : x
  2. Step 2: Convert to fraction form
    2,402.81/3,314.98 = 1,615.61/x
  3. Step 3: Cross multiply
    2,402.81x = 3,314.98 × 1,615.61
  4. Step 4: Simplify right side
    2,402.81x = 5,355,714.84
  5. Step 5: Solve for x
    x = 5,355,714.84/2,402.81
  6. Step 6: Final answer
    x = 2,228.94

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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.