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Finding the Fourth Proportional to 2,827, 3,901.26 and 1,585

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Solution

The fourth proportional to 2,827, 3,901.26 and 1,585 is: 2,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827 : 3,901.26 = 1,585 : x
  2. Step 2: Convert to fraction form
    2,827/3,901.26 = 1,585/x
  3. Step 3: Cross multiply
    2,827x = 3,901.26 × 1,585
  4. Step 4: Simplify right side
    2,827x = 6,183,497.10
  5. Step 5: Solve for x
    x = 6,183,497.10/2,827
  6. Step 6: Final answer
    x = 2,187.30

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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.