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Finding the Fourth Proportional to 1,510.38, 2,266.49 and 586.03

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Solution

The fourth proportional to 1,510.38, 2,266.49 and 586.03 is: 879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.38 : 2,266.49 = 586.03 : x
  2. Step 2: Convert to fraction form
    1,510.38/2,266.49 = 586.03/x
  3. Step 3: Cross multiply
    1,510.38x = 2,266.49 × 586.03
  4. Step 4: Simplify right side
    1,510.38x = 1,328,231.13
  5. Step 5: Solve for x
    x = 1,328,231.13/1,510.38
  6. Step 6: Final answer
    x = 879.40

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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.