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Finding the Fourth Proportional to 2,114.12, 3,170.63 and 652.47

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Solution

The fourth proportional to 2,114.12, 3,170.63 and 652.47 is: 978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.12 : 3,170.63 = 652.47 : x
  2. Step 2: Convert to fraction form
    2,114.12/3,170.63 = 652.47/x
  3. Step 3: Cross multiply
    2,114.12x = 3,170.63 × 652.47
  4. Step 4: Simplify right side
    2,114.12x = 2,068,742.59
  5. Step 5: Solve for x
    x = 2,068,742.59/2,114.12
  6. Step 6: Final answer
    x = 978.54

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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.