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Finding the Fourth Proportional to 1,510.65, 2,262.33 and 1,022.22

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Solution

The fourth proportional to 1,510.65, 2,262.33 and 1,022.22 is: 1,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.65 : 2,262.33 = 1,022.22 : x
  2. Step 2: Convert to fraction form
    1,510.65/2,262.33 = 1,022.22/x
  3. Step 3: Cross multiply
    1,510.65x = 2,262.33 × 1,022.22
  4. Step 4: Simplify right side
    1,510.65x = 2,312,598.97
  5. Step 5: Solve for x
    x = 2,312,598.97/1,510.65
  6. Step 6: Final answer
    x = 1,530.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.