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Finding the Fourth Proportional to 2,354.79, 3,532.05 and 794.73

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Solution

The fourth proportional to 2,354.79, 3,532.05 and 794.73 is: 1,192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.79 : 3,532.05 = 794.73 : x
  2. Step 2: Convert to fraction form
    2,354.79/3,532.05 = 794.73/x
  3. Step 3: Cross multiply
    2,354.79x = 3,532.05 × 794.73
  4. Step 4: Simplify right side
    2,354.79x = 2,807,026.10
  5. Step 5: Solve for x
    x = 2,807,026.10/2,354.79
  6. Step 6: Final answer
    x = 1,192.05

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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.