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Finding the Fourth Proportional to 1,878.00, 2,816.07 and 1,098.20

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Solution

The fourth proportional to 1,878.00, 2,816.07 and 1,098.20 is: 1,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.00 : 2,816.07 = 1,098.20 : x
  2. Step 2: Convert to fraction form
    1,878.00/2,816.07 = 1,098.20/x
  3. Step 3: Cross multiply
    1,878.00x = 2,816.07 × 1,098.20
  4. Step 4: Simplify right side
    1,878.00x = 3,092,593.99
  5. Step 5: Solve for x
    x = 3,092,593.99/1,878.00
  6. Step 6: Final answer
    x = 1,646.75

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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.