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Finding the Fourth Proportional to 2,324.52, 3,488.22 and 1,706.70

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Solution

The fourth proportional to 2,324.52, 3,488.22 and 1,706.70 is: 2,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.52 : 3,488.22 = 1,706.70 : x
  2. Step 2: Convert to fraction form
    2,324.52/3,488.22 = 1,706.70/x
  3. Step 3: Cross multiply
    2,324.52x = 3,488.22 × 1,706.70
  4. Step 4: Simplify right side
    2,324.52x = 5,953,345.07
  5. Step 5: Solve for x
    x = 5,953,345.07/2,324.52
  6. Step 6: Final answer
    x = 2,561.11

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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.