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Finding the Fourth Proportional to 2,071.56, 2,857.88 and 1,371.72

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Solution

The fourth proportional to 2,071.56, 2,857.88 and 1,371.72 is: 1,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.56 : 2,857.88 = 1,371.72 : x
  2. Step 2: Convert to fraction form
    2,071.56/2,857.88 = 1,371.72/x
  3. Step 3: Cross multiply
    2,071.56x = 2,857.88 × 1,371.72
  4. Step 4: Simplify right side
    2,071.56x = 3,920,211.15
  5. Step 5: Solve for x
    x = 3,920,211.15/2,071.56
  6. Step 6: Final answer
    x = 1,892.40

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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.