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Finding the Fourth Proportional to 2,715.35, 3,750.27 and 1,829.61

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Solution

The fourth proportional to 2,715.35, 3,750.27 and 1,829.61 is: 2,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.35 : 3,750.27 = 1,829.61 : x
  2. Step 2: Convert to fraction form
    2,715.35/3,750.27 = 1,829.61/x
  3. Step 3: Cross multiply
    2,715.35x = 3,750.27 × 1,829.61
  4. Step 4: Simplify right side
    2,715.35x = 6,861,531.49
  5. Step 5: Solve for x
    x = 6,861,531.49/2,715.35
  6. Step 6: Final answer
    x = 2,526.95

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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.