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Finding the Fourth Proportional to 1,878.01, 2,813.83 and 1,327.50

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Solution

The fourth proportional to 1,878.01, 2,813.83 and 1,327.50 is: 1,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.01 : 2,813.83 = 1,327.50 : x
  2. Step 2: Convert to fraction form
    1,878.01/2,813.83 = 1,327.50/x
  3. Step 3: Cross multiply
    1,878.01x = 2,813.83 × 1,327.50
  4. Step 4: Simplify right side
    1,878.01x = 3,735,358.10
  5. Step 5: Solve for x
    x = 3,735,358.10/1,878.01
  6. Step 6: Final answer
    x = 1,989.00

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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.