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Finding the Fourth Proportional to 2,070.77, 2,856.38 and 1,284.82

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Solution

The fourth proportional to 2,070.77, 2,856.38 and 1,284.82 is: 1,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.77 : 2,856.38 = 1,284.82 : x
  2. Step 2: Convert to fraction form
    2,070.77/2,856.38 = 1,284.82/x
  3. Step 3: Cross multiply
    2,070.77x = 2,856.38 × 1,284.82
  4. Step 4: Simplify right side
    2,070.77x = 3,669,934.15
  5. Step 5: Solve for x
    x = 3,669,934.15/2,070.77
  6. Step 6: Final answer
    x = 1,772.26

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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.