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Finding the Fourth Proportional to 2,510.64, 3,747.98 and 2,182.68

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Solution

The fourth proportional to 2,510.64, 3,747.98 and 2,182.68 is: 3,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.64 : 3,747.98 = 2,182.68 : x
  2. Step 2: Convert to fraction form
    2,510.64/3,747.98 = 2,182.68/x
  3. Step 3: Cross multiply
    2,510.64x = 3,747.98 × 2,182.68
  4. Step 4: Simplify right side
    2,510.64x = 8,180,640.99
  5. Step 5: Solve for x
    x = 8,180,640.99/2,510.64
  6. Step 6: Final answer
    x = 3,258.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.