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Finding the Fourth Proportional to 2,569.49, 3,854.22 and 1,010.23

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Solution

The fourth proportional to 2,569.49, 3,854.22 and 1,010.23 is: 1,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.49 : 3,854.22 = 1,010.23 : x
  2. Step 2: Convert to fraction form
    2,569.49/3,854.22 = 1,010.23/x
  3. Step 3: Cross multiply
    2,569.49x = 3,854.22 × 1,010.23
  4. Step 4: Simplify right side
    2,569.49x = 3,893,648.67
  5. Step 5: Solve for x
    x = 3,893,648.67/2,569.49
  6. Step 6: Final answer
    x = 1,515.34

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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.