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Finding the Fourth Proportional to 2,899.25, 4,001.04 and 1,780.81

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Solution

The fourth proportional to 2,899.25, 4,001.04 and 1,780.81 is: 2,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.25 : 4,001.04 = 1,780.81 : x
  2. Step 2: Convert to fraction form
    2,899.25/4,001.04 = 1,780.81/x
  3. Step 3: Cross multiply
    2,899.25x = 4,001.04 × 1,780.81
  4. Step 4: Simplify right side
    2,899.25x = 7,125,082.04
  5. Step 5: Solve for x
    x = 7,125,082.04/2,899.25
  6. Step 6: Final answer
    x = 2,457.56

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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.