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Finding the Fourth Proportional to 2,344.56, 3,514.36 and 883.08

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Solution

The fourth proportional to 2,344.56, 3,514.36 and 883.08 is: 1,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.56 : 3,514.36 = 883.08 : x
  2. Step 2: Convert to fraction form
    2,344.56/3,514.36 = 883.08/x
  3. Step 3: Cross multiply
    2,344.56x = 3,514.36 × 883.08
  4. Step 4: Simplify right side
    2,344.56x = 3,103,461.03
  5. Step 5: Solve for x
    x = 3,103,461.03/2,344.56
  6. Step 6: Final answer
    x = 1,323.69

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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.