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Finding the Fourth Proportional to 2,510.10, 3,340.69 and 2,510.10

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Solution

The fourth proportional to 2,510.10, 3,340.69 and 2,510.10 is: 3,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.10 : 3,340.69 = 2,510.10 : x
  2. Step 2: Convert to fraction form
    2,510.10/3,340.69 = 2,510.10/x
  3. Step 3: Cross multiply
    2,510.10x = 3,340.69 × 2,510.10
  4. Step 4: Simplify right side
    2,510.10x = 8,385,459.69
  5. Step 5: Solve for x
    x = 8,385,459.69/2,510.10
  6. Step 6: Final answer
    x = 3,340.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.