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Finding the Fourth Proportional to 2,193.52, 3,023.52 and 2,012.50

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Solution

The fourth proportional to 2,193.52, 3,023.52 and 2,012.50 is: 2,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.52 : 3,023.52 = 2,012.50 : x
  2. Step 2: Convert to fraction form
    2,193.52/3,023.52 = 2,012.50/x
  3. Step 3: Cross multiply
    2,193.52x = 3,023.52 × 2,012.50
  4. Step 4: Simplify right side
    2,193.52x = 6,084,834
  5. Step 5: Solve for x
    x = 6,084,834/2,193.52
  6. Step 6: Final answer
    x = 2,774.00

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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.