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Finding the Fourth Proportional to 2,510.04, 3,460.02 and 1,761.90

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Solution

The fourth proportional to 2,510.04, 3,460.02 and 1,761.90 is: 2,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.04 : 3,460.02 = 1,761.90 : x
  2. Step 2: Convert to fraction form
    2,510.04/3,460.02 = 1,761.90/x
  3. Step 3: Cross multiply
    2,510.04x = 3,460.02 × 1,761.90
  4. Step 4: Simplify right side
    2,510.04x = 6,096,209.12
  5. Step 5: Solve for x
    x = 6,096,209.12/2,510.04
  6. Step 6: Final answer
    x = 2,428.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.