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Finding the Fourth Proportional to 2,850, 4,275.64 and 1,026

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Solution

The fourth proportional to 2,850, 4,275.64 and 1,026 is: 1,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850 : 4,275.64 = 1,026 : x
  2. Step 2: Convert to fraction form
    2,850/4,275.64 = 1,026/x
  3. Step 3: Cross multiply
    2,850x = 4,275.64 × 1,026
  4. Step 4: Simplify right side
    2,850x = 4,386,806.64
  5. Step 5: Solve for x
    x = 4,386,806.64/2,850
  6. Step 6: Final answer
    x = 1,539.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.