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Finding the Fourth Proportional to 2,071.44, 2,859.12 and 1,285.20

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Solution

The fourth proportional to 2,071.44, 2,859.12 and 1,285.20 is: 1,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.44 : 2,859.12 = 1,285.20 : x
  2. Step 2: Convert to fraction form
    2,071.44/2,859.12 = 1,285.20/x
  3. Step 3: Cross multiply
    2,071.44x = 2,859.12 × 1,285.20
  4. Step 4: Simplify right side
    2,071.44x = 3,674,541.02
  5. Step 5: Solve for x
    x = 3,674,541.02/2,071.44
  6. Step 6: Final answer
    x = 1,773.91

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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.