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Finding the Fourth Proportional to 2,695.63, 4,036.13 and 2,342.52

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Solution

The fourth proportional to 2,695.63, 4,036.13 and 2,342.52 is: 3,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.63 : 4,036.13 = 2,342.52 : x
  2. Step 2: Convert to fraction form
    2,695.63/4,036.13 = 2,342.52/x
  3. Step 3: Cross multiply
    2,695.63x = 4,036.13 × 2,342.52
  4. Step 4: Simplify right side
    2,695.63x = 9,454,712.32
  5. Step 5: Solve for x
    x = 9,454,712.32/2,695.63
  6. Step 6: Final answer
    x = 3,507.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.