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Finding the Fourth Proportional to 2,113.93, 3,171.06 and 652.90

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Solution

The fourth proportional to 2,113.93, 3,171.06 and 652.90 is: 979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.93 : 3,171.06 = 652.90 : x
  2. Step 2: Convert to fraction form
    2,113.93/3,171.06 = 652.90/x
  3. Step 3: Cross multiply
    2,113.93x = 3,171.06 × 652.90
  4. Step 4: Simplify right side
    2,113.93x = 2,070,385.07
  5. Step 5: Solve for x
    x = 2,070,385.07/2,113.93
  6. Step 6: Final answer
    x = 979.40

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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.