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Finding the Fourth Proportional to 1,510.80, 2,266.54 and 689.32

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Solution

The fourth proportional to 1,510.80, 2,266.54 and 689.32 is: 1,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.80 : 2,266.54 = 689.32 : x
  2. Step 2: Convert to fraction form
    1,510.80/2,266.54 = 689.32/x
  3. Step 3: Cross multiply
    1,510.80x = 2,266.54 × 689.32
  4. Step 4: Simplify right side
    1,510.80x = 1,562,371.35
  5. Step 5: Solve for x
    x = 1,562,371.35/1,510.80
  6. Step 6: Final answer
    x = 1,034.14

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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.