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Finding the Fourth Proportional to 1,695.07, 2,338.90 and 1,065.97

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Solution

The fourth proportional to 1,695.07, 2,338.90 and 1,065.97 is: 1,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.07 : 2,338.90 = 1,065.97 : x
  2. Step 2: Convert to fraction form
    1,695.07/2,338.90 = 1,065.97/x
  3. Step 3: Cross multiply
    1,695.07x = 2,338.90 × 1,065.97
  4. Step 4: Simplify right side
    1,695.07x = 2,493,197.23
  5. Step 5: Solve for x
    x = 2,493,197.23/1,695.07
  6. Step 6: Final answer
    x = 1,470.85

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