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Finding the Fourth Proportional to 2,340.14, 3,510.87 and 696.68

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Solution

The fourth proportional to 2,340.14, 3,510.87 and 696.68 is: 1,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.14 : 3,510.87 = 696.68 : x
  2. Step 2: Convert to fraction form
    2,340.14/3,510.87 = 696.68/x
  3. Step 3: Cross multiply
    2,340.14x = 3,510.87 × 696.68
  4. Step 4: Simplify right side
    2,340.14x = 2,445,952.91
  5. Step 5: Solve for x
    x = 2,445,952.91/2,340.14
  6. Step 6: Final answer
    x = 1,045.22

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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.