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Finding the Fourth Proportional to 2,113.20, 3,170.14 and 652.01

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Solution

The fourth proportional to 2,113.20, 3,170.14 and 652.01 is: 978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.20 : 3,170.14 = 652.01 : x
  2. Step 2: Convert to fraction form
    2,113.20/3,170.14 = 652.01/x
  3. Step 3: Cross multiply
    2,113.20x = 3,170.14 × 652.01
  4. Step 4: Simplify right side
    2,113.20x = 2,066,954.42
  5. Step 5: Solve for x
    x = 2,066,954.42/2,113.20
  6. Step 6: Final answer
    x = 978.12

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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.