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Finding the Fourth Proportional to 1,643.71, 2,465.29 and 489.19

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Solution

The fourth proportional to 1,643.71, 2,465.29 and 489.19 is: 733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.71 : 2,465.29 = 489.19 : x
  2. Step 2: Convert to fraction form
    1,643.71/2,465.29 = 489.19/x
  3. Step 3: Cross multiply
    1,643.71x = 2,465.29 × 489.19
  4. Step 4: Simplify right side
    1,643.71x = 1,205,987.83
  5. Step 5: Solve for x
    x = 1,205,987.83/1,643.71
  6. Step 6: Final answer
    x = 733.70

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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.