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Finding the Fourth Proportional to 2,301.52, 3,170.46 and 1,670.18

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Solution

The fourth proportional to 2,301.52, 3,170.46 and 1,670.18 is: 2,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.52 : 3,170.46 = 1,670.18 : x
  2. Step 2: Convert to fraction form
    2,301.52/3,170.46 = 1,670.18/x
  3. Step 3: Cross multiply
    2,301.52x = 3,170.46 × 1,670.18
  4. Step 4: Simplify right side
    2,301.52x = 5,295,238.88
  5. Step 5: Solve for x
    x = 5,295,238.88/2,301.52
  6. Step 6: Final answer
    x = 2,300.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.