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Finding the Fourth Proportional to 2,566.02, 3,848.70 and 834.50

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Solution

The fourth proportional to 2,566.02, 3,848.70 and 834.50 is: 1,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.02 : 3,848.70 = 834.50 : x
  2. Step 2: Convert to fraction form
    2,566.02/3,848.70 = 834.50/x
  3. Step 3: Cross multiply
    2,566.02x = 3,848.70 × 834.50
  4. Step 4: Simplify right side
    2,566.02x = 3,211,740.15
  5. Step 5: Solve for x
    x = 3,211,740.15/2,566.02
  6. Step 6: Final answer
    x = 1,251.64

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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.