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Finding the Fourth Proportional to 1,549.59, 2,322.31 and 891.77

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Solution

The fourth proportional to 1,549.59, 2,322.31 and 891.77 is: 1,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.59 : 2,322.31 = 891.77 : x
  2. Step 2: Convert to fraction form
    1,549.59/2,322.31 = 891.77/x
  3. Step 3: Cross multiply
    1,549.59x = 2,322.31 × 891.77
  4. Step 4: Simplify right side
    1,549.59x = 2,070,966.39
  5. Step 5: Solve for x
    x = 2,070,966.39/1,549.59
  6. Step 6: Final answer
    x = 1,336.46

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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.