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Finding the Fourth Proportional to 2,089.39, 2,876.80 and 1,774.00

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Solution

The fourth proportional to 2,089.39, 2,876.80 and 1,774.00 is: 2,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.39 : 2,876.80 = 1,774.00 : x
  2. Step 2: Convert to fraction form
    2,089.39/2,876.80 = 1,774.00/x
  3. Step 3: Cross multiply
    2,089.39x = 2,876.80 × 1,774.00
  4. Step 4: Simplify right side
    2,089.39x = 5,103,428.82
  5. Step 5: Solve for x
    x = 5,103,428.82/2,089.39
  6. Step 6: Final answer
    x = 2,442.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.