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Finding the Fourth Proportional to 2,348.07, 3,512.99 and 1,615.43

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Solution

The fourth proportional to 2,348.07, 3,512.99 and 1,615.43 is: 2,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.07 : 3,512.99 = 1,615.43 : x
  2. Step 2: Convert to fraction form
    2,348.07/3,512.99 = 1,615.43/x
  3. Step 3: Cross multiply
    2,348.07x = 3,512.99 × 1,615.43
  4. Step 4: Simplify right side
    2,348.07x = 5,674,963.79
  5. Step 5: Solve for x
    x = 5,674,963.79/2,348.07
  6. Step 6: Final answer
    x = 2,416.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.