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Finding the Fourth Proportional to 2,113.52, 3,170.55 and 652.82

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Solution

The fourth proportional to 2,113.52, 3,170.55 and 652.82 is: 979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.52 : 3,170.55 = 652.82 : x
  2. Step 2: Convert to fraction form
    2,113.52/3,170.55 = 652.82/x
  3. Step 3: Cross multiply
    2,113.52x = 3,170.55 × 652.82
  4. Step 4: Simplify right side
    2,113.52x = 2,069,798.45
  5. Step 5: Solve for x
    x = 2,069,798.45/2,113.52
  6. Step 6: Final answer
    x = 979.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.