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Finding the Fourth Proportional to 1,648.71, 2,275.32 and 902.67

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Solution

The fourth proportional to 1,648.71, 2,275.32 and 902.67 is: 1,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.71 : 2,275.32 = 902.67 : x
  2. Step 2: Convert to fraction form
    1,648.71/2,275.32 = 902.67/x
  3. Step 3: Cross multiply
    1,648.71x = 2,275.32 × 902.67
  4. Step 4: Simplify right side
    1,648.71x = 2,053,863.10
  5. Step 5: Solve for x
    x = 2,053,863.10/1,648.71
  6. Step 6: Final answer
    x = 1,245.74

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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.