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Finding the Fourth Proportional to 2,488.50, 3,436.56 and 1,648.80

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Solution

The fourth proportional to 2,488.50, 3,436.56 and 1,648.80 is: 2,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.50 : 3,436.56 = 1,648.80 : x
  2. Step 2: Convert to fraction form
    2,488.50/3,436.56 = 1,648.80/x
  3. Step 3: Cross multiply
    2,488.50x = 3,436.56 × 1,648.80
  4. Step 4: Simplify right side
    2,488.50x = 5,666,200.13
  5. Step 5: Solve for x
    x = 5,666,200.13/2,488.50
  6. Step 6: Final answer
    x = 2,276.95

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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.