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Finding the Fourth Proportional to 2,642.90, 3,645.98 and 1,857.41

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Solution

The fourth proportional to 2,642.90, 3,645.98 and 1,857.41 is: 2,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.90 : 3,645.98 = 1,857.41 : x
  2. Step 2: Convert to fraction form
    2,642.90/3,645.98 = 1,857.41/x
  3. Step 3: Cross multiply
    2,642.90x = 3,645.98 × 1,857.41
  4. Step 4: Simplify right side
    2,642.90x = 6,772,061.48
  5. Step 5: Solve for x
    x = 6,772,061.48/2,642.90
  6. Step 6: Final answer
    x = 2,562.36

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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.