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Finding the Fourth Proportional to 2,342.77, 3,498.95 and 2,122.95

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Solution

The fourth proportional to 2,342.77, 3,498.95 and 2,122.95 is: 3,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.77 : 3,498.95 = 2,122.95 : x
  2. Step 2: Convert to fraction form
    2,342.77/3,498.95 = 2,122.95/x
  3. Step 3: Cross multiply
    2,342.77x = 3,498.95 × 2,122.95
  4. Step 4: Simplify right side
    2,342.77x = 7,428,085.29
  5. Step 5: Solve for x
    x = 7,428,085.29/2,342.77
  6. Step 6: Final answer
    x = 3,170.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.