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Finding the Fourth Proportional to 1,877.80, 2,811.30 and 1,823.80

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Solution

The fourth proportional to 1,877.80, 2,811.30 and 1,823.80 is: 2,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.80 : 2,811.30 = 1,823.80 : x
  2. Step 2: Convert to fraction form
    1,877.80/2,811.30 = 1,823.80/x
  3. Step 3: Cross multiply
    1,877.80x = 2,811.30 × 1,823.80
  4. Step 4: Simplify right side
    1,877.80x = 5,127,248.94
  5. Step 5: Solve for x
    x = 5,127,248.94/1,877.80
  6. Step 6: Final answer
    x = 2,730.46

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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.