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Finding the Fourth Proportional to 2,760.53, 3,798.18 and 2,428.38

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Solution

The fourth proportional to 2,760.53, 3,798.18 and 2,428.38 is: 3,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.53 : 3,798.18 = 2,428.38 : x
  2. Step 2: Convert to fraction form
    2,760.53/3,798.18 = 2,428.38/x
  3. Step 3: Cross multiply
    2,760.53x = 3,798.18 × 2,428.38
  4. Step 4: Simplify right side
    2,760.53x = 9,223,424.35
  5. Step 5: Solve for x
    x = 9,223,424.35/2,760.53
  6. Step 6: Final answer
    x = 3,341.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.