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Finding the Fourth Proportional to 1,873.60, 2,811.93 and 996.10

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Solution

The fourth proportional to 1,873.60, 2,811.93 and 996.10 is: 1,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.60 : 2,811.93 = 996.10 : x
  2. Step 2: Convert to fraction form
    1,873.60/2,811.93 = 996.10/x
  3. Step 3: Cross multiply
    1,873.60x = 2,811.93 × 996.10
  4. Step 4: Simplify right side
    1,873.60x = 2,800,963.47
  5. Step 5: Solve for x
    x = 2,800,963.47/1,873.60
  6. Step 6: Final answer
    x = 1,494.96

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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.