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Finding the Fourth Proportional to 2,955.61, 4,078.57 and 1,836.52

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Solution

The fourth proportional to 2,955.61, 4,078.57 and 1,836.52 is: 2,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.61 : 4,078.57 = 1,836.52 : x
  2. Step 2: Convert to fraction form
    2,955.61/4,078.57 = 1,836.52/x
  3. Step 3: Cross multiply
    2,955.61x = 4,078.57 × 1,836.52
  4. Step 4: Simplify right side
    2,955.61x = 7,490,375.38
  5. Step 5: Solve for x
    x = 7,490,375.38/2,955.61
  6. Step 6: Final answer
    x = 2,534.29

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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.