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Finding the Fourth Proportional to 1,891.74, 2,822.96 and 1,877.34

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Solution

The fourth proportional to 1,891.74, 2,822.96 and 1,877.34 is: 2,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.74 : 2,822.96 = 1,877.34 : x
  2. Step 2: Convert to fraction form
    1,891.74/2,822.96 = 1,877.34/x
  3. Step 3: Cross multiply
    1,891.74x = 2,822.96 × 1,877.34
  4. Step 4: Simplify right side
    1,891.74x = 5,299,646.34
  5. Step 5: Solve for x
    x = 5,299,646.34/1,891.74
  6. Step 6: Final answer
    x = 2,801.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.