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Finding the Fourth Proportional to 1,877.83, 2,816.79 and 579.31

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Solution

The fourth proportional to 1,877.83, 2,816.79 and 579.31 is: 868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.83 : 2,816.79 = 579.31 : x
  2. Step 2: Convert to fraction form
    1,877.83/2,816.79 = 579.31/x
  3. Step 3: Cross multiply
    1,877.83x = 2,816.79 × 579.31
  4. Step 4: Simplify right side
    1,877.83x = 1,631,794.61
  5. Step 5: Solve for x
    x = 1,631,794.61/1,877.83
  6. Step 6: Final answer
    x = 868.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.