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Finding the Fourth Proportional to 2,340.14, 3,510.02 and 1,105.70

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Solution

The fourth proportional to 2,340.14, 3,510.02 and 1,105.70 is: 1,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.14 : 3,510.02 = 1,105.70 : x
  2. Step 2: Convert to fraction form
    2,340.14/3,510.02 = 1,105.70/x
  3. Step 3: Cross multiply
    2,340.14x = 3,510.02 × 1,105.70
  4. Step 4: Simplify right side
    2,340.14x = 3,881,014.33
  5. Step 5: Solve for x
    x = 3,881,014.33/2,340.14
  6. Step 6: Final answer
    x = 1,658.46

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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.