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Finding the Fourth Proportional to 2,339.79, 3,509.67 and 952.80

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Solution

The fourth proportional to 2,339.79, 3,509.67 and 952.80 is: 1,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.79 : 3,509.67 = 952.80 : x
  2. Step 2: Convert to fraction form
    2,339.79/3,509.67 = 952.80/x
  3. Step 3: Cross multiply
    2,339.79x = 3,509.67 × 952.80
  4. Step 4: Simplify right side
    2,339.79x = 3,343,996.03
  5. Step 5: Solve for x
    x = 3,343,996.03/2,339.79
  6. Step 6: Final answer
    x = 1,429.19

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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.