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Finding the Fourth Proportional to 1,551.85, 2,141.66 and 853.22

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Solution

The fourth proportional to 1,551.85, 2,141.66 and 853.22 is: 1,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.85 : 2,141.66 = 853.22 : x
  2. Step 2: Convert to fraction form
    1,551.85/2,141.66 = 853.22/x
  3. Step 3: Cross multiply
    1,551.85x = 2,141.66 × 853.22
  4. Step 4: Simplify right side
    1,551.85x = 1,827,308.23
  5. Step 5: Solve for x
    x = 1,827,308.23/1,551.85
  6. Step 6: Final answer
    x = 1,177.51

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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.