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Finding the Fourth Proportional to 2,360.40, 3,532.90 and 1,627.76

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Solution

The fourth proportional to 2,360.40, 3,532.90 and 1,627.76 is: 2,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.40 : 3,532.90 = 1,627.76 : x
  2. Step 2: Convert to fraction form
    2,360.40/3,532.90 = 1,627.76/x
  3. Step 3: Cross multiply
    2,360.40x = 3,532.90 × 1,627.76
  4. Step 4: Simplify right side
    2,360.40x = 5,750,713.30
  5. Step 5: Solve for x
    x = 5,750,713.30/2,360.40
  6. Step 6: Final answer
    x = 2,436.33

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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.