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Finding the Fourth Proportional to 1,788.84, 2,678.40 and 1,567.44

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Solution

The fourth proportional to 1,788.84, 2,678.40 and 1,567.44 is: 2,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.84 : 2,678.40 = 1,567.44 : x
  2. Step 2: Convert to fraction form
    1,788.84/2,678.40 = 1,567.44/x
  3. Step 3: Cross multiply
    1,788.84x = 2,678.40 × 1,567.44
  4. Step 4: Simplify right side
    1,788.84x = 4,198,231.30
  5. Step 5: Solve for x
    x = 4,198,231.30/1,788.84
  6. Step 6: Final answer
    x = 2,346.90

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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.