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Finding the Fourth Proportional to 2,714, 4,071.16 and 890

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Solution

The fourth proportional to 2,714, 4,071.16 and 890 is: 1,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714 : 4,071.16 = 890 : x
  2. Step 2: Convert to fraction form
    2,714/4,071.16 = 890/x
  3. Step 3: Cross multiply
    2,714x = 4,071.16 × 890
  4. Step 4: Simplify right side
    2,714x = 3,623,332.40
  5. Step 5: Solve for x
    x = 3,623,332.40/2,714
  6. Step 6: Final answer
    x = 1,335.05

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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.