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Finding the Fourth Proportional to 2,340.78, 3,511.14 and 697.08

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Solution

The fourth proportional to 2,340.78, 3,511.14 and 697.08 is: 1,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.78 : 3,511.14 = 697.08 : x
  2. Step 2: Convert to fraction form
    2,340.78/3,511.14 = 697.08/x
  3. Step 3: Cross multiply
    2,340.78x = 3,511.14 × 697.08
  4. Step 4: Simplify right side
    2,340.78x = 2,447,545.47
  5. Step 5: Solve for x
    x = 2,447,545.47/2,340.78
  6. Step 6: Final answer
    x = 1,045.61

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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.