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Finding the Fourth Proportional to 2,352.98, 3,519.86 and 1,565.66

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Solution

The fourth proportional to 2,352.98, 3,519.86 and 1,565.66 is: 2,342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.98 : 3,519.86 = 1,565.66 : x
  2. Step 2: Convert to fraction form
    2,352.98/3,519.86 = 1,565.66/x
  3. Step 3: Cross multiply
    2,352.98x = 3,519.86 × 1,565.66
  4. Step 4: Simplify right side
    2,352.98x = 5,510,904.98
  5. Step 5: Solve for x
    x = 5,510,904.98/2,352.98
  6. Step 6: Final answer
    x = 2,342.09

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