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Finding the Fourth Proportional to 2,094.89, 3,142.35 and 708.24

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Solution

The fourth proportional to 2,094.89, 3,142.35 and 708.24 is: 1,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.89 : 3,142.35 = 708.24 : x
  2. Step 2: Convert to fraction form
    2,094.89/3,142.35 = 708.24/x
  3. Step 3: Cross multiply
    2,094.89x = 3,142.35 × 708.24
  4. Step 4: Simplify right side
    2,094.89x = 2,225,534.42
  5. Step 5: Solve for x
    x = 2,225,534.42/2,094.89
  6. Step 6: Final answer
    x = 1,062.36

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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.