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Finding the Fourth Proportional to 2,389.97, 3,298.65 and 1,505.18

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Solution

The fourth proportional to 2,389.97, 3,298.65 and 1,505.18 is: 2,077.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.97 : 3,298.65 = 1,505.18 : x
  2. Step 2: Convert to fraction form
    2,389.97/3,298.65 = 1,505.18/x
  3. Step 3: Cross multiply
    2,389.97x = 3,298.65 × 1,505.18
  4. Step 4: Simplify right side
    2,389.97x = 4,965,062.01
  5. Step 5: Solve for x
    x = 4,965,062.01/2,389.97
  6. Step 6: Final answer
    x = 2,077.46

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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.