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Finding the Fourth Proportional to 2,012.51, 3,017.36 and 886.23

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Solution

The fourth proportional to 2,012.51, 3,017.36 and 886.23 is: 1,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.51 : 3,017.36 = 886.23 : x
  2. Step 2: Convert to fraction form
    2,012.51/3,017.36 = 886.23/x
  3. Step 3: Cross multiply
    2,012.51x = 3,017.36 × 886.23
  4. Step 4: Simplify right side
    2,012.51x = 2,674,070.52
  5. Step 5: Solve for x
    x = 2,674,070.52/2,012.51
  6. Step 6: Final answer
    x = 1,328.73

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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.