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Finding the Fourth Proportional to 1,510.20, 2,084.16 and 950.46

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Solution

The fourth proportional to 1,510.20, 2,084.16 and 950.46 is: 1,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.20 : 2,084.16 = 950.46 : x
  2. Step 2: Convert to fraction form
    1,510.20/2,084.16 = 950.46/x
  3. Step 3: Cross multiply
    1,510.20x = 2,084.16 × 950.46
  4. Step 4: Simplify right side
    1,510.20x = 1,980,910.71
  5. Step 5: Solve for x
    x = 1,980,910.71/1,510.20
  6. Step 6: Final answer
    x = 1,311.69

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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.