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Finding the Fourth Proportional to 2,925.76, 4,387.98 and 845.76

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Solution

The fourth proportional to 2,925.76, 4,387.98 and 845.76 is: 1,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.76 : 4,387.98 = 845.76 : x
  2. Step 2: Convert to fraction form
    2,925.76/4,387.98 = 845.76/x
  3. Step 3: Cross multiply
    2,925.76x = 4,387.98 × 845.76
  4. Step 4: Simplify right side
    2,925.76x = 3,711,177.96
  5. Step 5: Solve for x
    x = 3,711,177.96/2,925.76
  6. Step 6: Final answer
    x = 1,268.45

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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.