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Finding the Fourth Proportional to 1,877.42, 2,816.24 and 781.86

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Solution

The fourth proportional to 1,877.42, 2,816.24 and 781.86 is: 1,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.42 : 2,816.24 = 781.86 : x
  2. Step 2: Convert to fraction form
    1,877.42/2,816.24 = 781.86/x
  3. Step 3: Cross multiply
    1,877.42x = 2,816.24 × 781.86
  4. Step 4: Simplify right side
    1,877.42x = 2,201,901.50
  5. Step 5: Solve for x
    x = 2,201,901.50/1,877.42
  6. Step 6: Final answer
    x = 1,172.84

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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.