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Finding the Fourth Proportional to 2,570.54, 3,547.34 and 1,391.61

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Solution

The fourth proportional to 2,570.54, 3,547.34 and 1,391.61 is: 1,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.54 : 3,547.34 = 1,391.61 : x
  2. Step 2: Convert to fraction form
    2,570.54/3,547.34 = 1,391.61/x
  3. Step 3: Cross multiply
    2,570.54x = 3,547.34 × 1,391.61
  4. Step 4: Simplify right side
    2,570.54x = 4,936,517.30
  5. Step 5: Solve for x
    x = 4,936,517.30/2,570.54
  6. Step 6: Final answer
    x = 1,920.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.