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Finding the Fourth Proportional to 1,877.27, 2,816.16 and 1,773.64

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Solution

The fourth proportional to 1,877.27, 2,816.16 and 1,773.64 is: 2,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.27 : 2,816.16 = 1,773.64 : x
  2. Step 2: Convert to fraction form
    1,877.27/2,816.16 = 1,773.64/x
  3. Step 3: Cross multiply
    1,877.27x = 2,816.16 × 1,773.64
  4. Step 4: Simplify right side
    1,877.27x = 4,994,854.02
  5. Step 5: Solve for x
    x = 4,994,854.02/1,877.27
  6. Step 6: Final answer
    x = 2,660.70

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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.