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Finding the Fourth Proportional to 2,978.17, 4,112.48 and 1,861.01

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Solution

The fourth proportional to 2,978.17, 4,112.48 and 1,861.01 is: 2,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.17 : 4,112.48 = 1,861.01 : x
  2. Step 2: Convert to fraction form
    2,978.17/4,112.48 = 1,861.01/x
  3. Step 3: Cross multiply
    2,978.17x = 4,112.48 × 1,861.01
  4. Step 4: Simplify right side
    2,978.17x = 7,653,381.34
  5. Step 5: Solve for x
    x = 7,653,381.34/2,978.17
  6. Step 6: Final answer
    x = 2,569.83

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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.