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Finding the Fourth Proportional to 2,359.78, 3,260.72 and 1,695.49

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Solution

The fourth proportional to 2,359.78, 3,260.72 and 1,695.49 is: 2,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.78 : 3,260.72 = 1,695.49 : x
  2. Step 2: Convert to fraction form
    2,359.78/3,260.72 = 1,695.49/x
  3. Step 3: Cross multiply
    2,359.78x = 3,260.72 × 1,695.49
  4. Step 4: Simplify right side
    2,359.78x = 5,528,514.24
  5. Step 5: Solve for x
    x = 5,528,514.24/2,359.78
  6. Step 6: Final answer
    x = 2,342.81

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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.