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Finding the Fourth Proportional to 1,877.78, 2,814.14 and 1,000.14

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Solution

The fourth proportional to 1,877.78, 2,814.14 and 1,000.14 is: 1,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.78 : 2,814.14 = 1,000.14 : x
  2. Step 2: Convert to fraction form
    1,877.78/2,814.14 = 1,000.14/x
  3. Step 3: Cross multiply
    1,877.78x = 2,814.14 × 1,000.14
  4. Step 4: Simplify right side
    1,877.78x = 2,814,533.98
  5. Step 5: Solve for x
    x = 2,814,533.98/1,877.78
  6. Step 6: Final answer
    x = 1,498.86

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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.