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Finding the Fourth Proportional to 2,339.24, 3,509.51 and 695.81

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Solution

The fourth proportional to 2,339.24, 3,509.51 and 695.81 is: 1,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.24 : 3,509.51 = 695.81 : x
  2. Step 2: Convert to fraction form
    2,339.24/3,509.51 = 695.81/x
  3. Step 3: Cross multiply
    2,339.24x = 3,509.51 × 695.81
  4. Step 4: Simplify right side
    2,339.24x = 2,441,952.15
  5. Step 5: Solve for x
    x = 2,441,952.15/2,339.24
  6. Step 6: Final answer
    x = 1,043.91

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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.