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Finding the Fourth Proportional to 2,542.71, 3,515.36 and 1,878.51

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Solution

The fourth proportional to 2,542.71, 3,515.36 and 1,878.51 is: 2,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.71 : 3,515.36 = 1,878.51 : x
  2. Step 2: Convert to fraction form
    2,542.71/3,515.36 = 1,878.51/x
  3. Step 3: Cross multiply
    2,542.71x = 3,515.36 × 1,878.51
  4. Step 4: Simplify right side
    2,542.71x = 6,603,638.91
  5. Step 5: Solve for x
    x = 6,603,638.91/2,542.71
  6. Step 6: Final answer
    x = 2,597.09

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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.