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Finding the Fourth Proportional to 2,470.90, 3,706.35 and 1,639.30

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Solution

The fourth proportional to 2,470.90, 3,706.35 and 1,639.30 is: 2,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.90 : 3,706.35 = 1,639.30 : x
  2. Step 2: Convert to fraction form
    2,470.90/3,706.35 = 1,639.30/x
  3. Step 3: Cross multiply
    2,470.90x = 3,706.35 × 1,639.30
  4. Step 4: Simplify right side
    2,470.90x = 6,075,819.56
  5. Step 5: Solve for x
    x = 6,075,819.56/2,470.90
  6. Step 6: Final answer
    x = 2,458.95

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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.