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Finding the Fourth Proportional to 2,070.96, 2,859.48 and 1,275.38

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Solution

The fourth proportional to 2,070.96, 2,859.48 and 1,275.38 is: 1,760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.96 : 2,859.48 = 1,275.38 : x
  2. Step 2: Convert to fraction form
    2,070.96/2,859.48 = 1,275.38/x
  3. Step 3: Cross multiply
    2,070.96x = 2,859.48 × 1,275.38
  4. Step 4: Simplify right side
    2,070.96x = 3,646,916.44
  5. Step 5: Solve for x
    x = 3,646,916.44/2,070.96
  6. Step 6: Final answer
    x = 1,760.98

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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.