Home / 1,670.31-2,304.68-962.13

Finding the Fourth Proportional to 1,670.31, 2,304.68 and 962.13

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Solution

The fourth proportional to 1,670.31, 2,304.68 and 962.13 is: 1,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.31 : 2,304.68 = 962.13 : x
  2. Step 2: Convert to fraction form
    1,670.31/2,304.68 = 962.13/x
  3. Step 3: Cross multiply
    1,670.31x = 2,304.68 × 962.13
  4. Step 4: Simplify right side
    1,670.31x = 2,217,396.96
  5. Step 5: Solve for x
    x = 2,217,396.96/1,670.31
  6. Step 6: Final answer
    x = 1,327.54

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Why These Related Problems?

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