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Finding the Fourth Proportional to 1,957, 2,699.84 and 1,284.56

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Solution

The fourth proportional to 1,957, 2,699.84 and 1,284.56 is: 1,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957 : 2,699.84 = 1,284.56 : x
  2. Step 2: Convert to fraction form
    1,957/2,699.84 = 1,284.56/x
  3. Step 3: Cross multiply
    1,957x = 2,699.84 × 1,284.56
  4. Step 4: Simplify right side
    1,957x = 3,468,106.47
  5. Step 5: Solve for x
    x = 3,468,106.47/1,957
  6. Step 6: Final answer
    x = 1,772.15

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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.