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Finding the Fourth Proportional to 1,352, 2,027.76 and 378.20

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Solution

The fourth proportional to 1,352, 2,027.76 and 378.20 is: 567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352 : 2,027.76 = 378.20 : x
  2. Step 2: Convert to fraction form
    1,352/2,027.76 = 378.20/x
  3. Step 3: Cross multiply
    1,352x = 2,027.76 × 378.20
  4. Step 4: Simplify right side
    1,352x = 766,898.83
  5. Step 5: Solve for x
    x = 766,898.83/1,352
  6. Step 6: Final answer
    x = 567.23

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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.