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Finding the Fourth Proportional to 1,510.62, 2,262.09 and 860.22

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Solution

The fourth proportional to 1,510.62, 2,262.09 and 860.22 is: 1,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.62 : 2,262.09 = 860.22 : x
  2. Step 2: Convert to fraction form
    1,510.62/2,262.09 = 860.22/x
  3. Step 3: Cross multiply
    1,510.62x = 2,262.09 × 860.22
  4. Step 4: Simplify right side
    1,510.62x = 1,945,895.06
  5. Step 5: Solve for x
    x = 1,945,895.06/1,510.62
  6. Step 6: Final answer
    x = 1,288.14

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1.5x scale

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.