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Finding the Fourth Proportional to 2,339.41, 3,509.12 and 695.96

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Solution

The fourth proportional to 2,339.41, 3,509.12 and 695.96 is: 1,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.41 : 3,509.12 = 695.96 : x
  2. Step 2: Convert to fraction form
    2,339.41/3,509.12 = 695.96/x
  3. Step 3: Cross multiply
    2,339.41x = 3,509.12 × 695.96
  4. Step 4: Simplify right side
    2,339.41x = 2,442,186.13
  5. Step 5: Solve for x
    x = 2,442,186.13/2,339.41
  6. Step 6: Final answer
    x = 1,043.93

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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.