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Finding the Fourth Proportional to 2,339.17, 3,509.46 and 695.77

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Solution

The fourth proportional to 2,339.17, 3,509.46 and 695.77 is: 1,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.17 : 3,509.46 = 695.77 : x
  2. Step 2: Convert to fraction form
    2,339.17/3,509.46 = 695.77/x
  3. Step 3: Cross multiply
    2,339.17x = 3,509.46 × 695.77
  4. Step 4: Simplify right side
    2,339.17x = 2,441,776.98
  5. Step 5: Solve for x
    x = 2,441,776.98/2,339.17
  6. Step 6: Final answer
    x = 1,043.86

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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.