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Finding the Fourth Proportional to 2,877.95, 3,968.46 and 2,501.61

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Solution

The fourth proportional to 2,877.95, 3,968.46 and 2,501.61 is: 3,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.95 : 3,968.46 = 2,501.61 : x
  2. Step 2: Convert to fraction form
    2,877.95/3,968.46 = 2,501.61/x
  3. Step 3: Cross multiply
    2,877.95x = 3,968.46 × 2,501.61
  4. Step 4: Simplify right side
    2,877.95x = 9,927,539.22
  5. Step 5: Solve for x
    x = 9,927,539.22/2,877.95
  6. Step 6: Final answer
    x = 3,449.52

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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.