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Finding the Fourth Proportional to 2,569.01, 3,853.74 and 1,008.90

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Solution

The fourth proportional to 2,569.01, 3,853.74 and 1,008.90 is: 1,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.01 : 3,853.74 = 1,008.90 : x
  2. Step 2: Convert to fraction form
    2,569.01/3,853.74 = 1,008.90/x
  3. Step 3: Cross multiply
    2,569.01x = 3,853.74 × 1,008.90
  4. Step 4: Simplify right side
    2,569.01x = 3,888,038.29
  5. Step 5: Solve for x
    x = 3,888,038.29/2,569.01
  6. Step 6: Final answer
    x = 1,513.44

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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.