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Finding the Fourth Proportional to 1,510.26, 2,255.05 and 1,353.07

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Solution

The fourth proportional to 1,510.26, 2,255.05 and 1,353.07 is: 2,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.26 : 2,255.05 = 1,353.07 : x
  2. Step 2: Convert to fraction form
    1,510.26/2,255.05 = 1,353.07/x
  3. Step 3: Cross multiply
    1,510.26x = 2,255.05 × 1,353.07
  4. Step 4: Simplify right side
    1,510.26x = 3,051,229.23
  5. Step 5: Solve for x
    x = 3,051,229.23/1,510.26
  6. Step 6: Final answer
    x = 2,020.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.