Home / 2,116.32-3,175.76-962.40

Finding the Fourth Proportional to 2,116.32, 3,175.76 and 962.40

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Solution

The fourth proportional to 2,116.32, 3,175.76 and 962.40 is: 1,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.32 : 3,175.76 = 962.40 : x
  2. Step 2: Convert to fraction form
    2,116.32/3,175.76 = 962.40/x
  3. Step 3: Cross multiply
    2,116.32x = 3,175.76 × 962.40
  4. Step 4: Simplify right side
    2,116.32x = 3,056,351.42
  5. Step 5: Solve for x
    x = 3,056,351.42/2,116.32
  6. Step 6: Final answer
    x = 1,444.18

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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.