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Finding the Fourth Proportional to 1,643.65, 2,462.19 and 1,254.04

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Solution

The fourth proportional to 1,643.65, 2,462.19 and 1,254.04 is: 1,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.65 : 2,462.19 = 1,254.04 : x
  2. Step 2: Convert to fraction form
    1,643.65/2,462.19 = 1,254.04/x
  3. Step 3: Cross multiply
    1,643.65x = 2,462.19 × 1,254.04
  4. Step 4: Simplify right side
    1,643.65x = 3,087,684.75
  5. Step 5: Solve for x
    x = 3,087,684.75/1,643.65
  6. Step 6: Final answer
    x = 1,878.55

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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.