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Finding the Fourth Proportional to 2,339.50, 3,507.66 and 1,599.24

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Solution

The fourth proportional to 2,339.50, 3,507.66 and 1,599.24 is: 2,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.50 : 3,507.66 = 1,599.24 : x
  2. Step 2: Convert to fraction form
    2,339.50/3,507.66 = 1,599.24/x
  3. Step 3: Cross multiply
    2,339.50x = 3,507.66 × 1,599.24
  4. Step 4: Simplify right side
    2,339.50x = 5,609,590.18
  5. Step 5: Solve for x
    x = 5,609,590.18/2,339.50
  6. Step 6: Final answer
    x = 2,397.77

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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.