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Finding the Fourth Proportional to 2,689.20, 3,711.06 and 1,510.20

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Solution

The fourth proportional to 2,689.20, 3,711.06 and 1,510.20 is: 2,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.20 : 3,711.06 = 1,510.20 : x
  2. Step 2: Convert to fraction form
    2,689.20/3,711.06 = 1,510.20/x
  3. Step 3: Cross multiply
    2,689.20x = 3,711.06 × 1,510.20
  4. Step 4: Simplify right side
    2,689.20x = 5,604,442.81
  5. Step 5: Solve for x
    x = 5,604,442.81/2,689.20
  6. Step 6: Final answer
    x = 2,084.06

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1.5x scale

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.