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Finding the Fourth Proportional to 2,139.48, 3,209.40 and 752.67

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Solution

The fourth proportional to 2,139.48, 3,209.40 and 752.67 is: 1,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.48 : 3,209.40 = 752.67 : x
  2. Step 2: Convert to fraction form
    2,139.48/3,209.40 = 752.67/x
  3. Step 3: Cross multiply
    2,139.48x = 3,209.40 × 752.67
  4. Step 4: Simplify right side
    2,139.48x = 2,415,619.10
  5. Step 5: Solve for x
    x = 2,415,619.10/2,139.48
  6. Step 6: Final answer
    x = 1,129.07

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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.