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Finding the Fourth Proportional to 1,561.40, 2,154.74 and 853.26

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Solution

The fourth proportional to 1,561.40, 2,154.74 and 853.26 is: 1,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.40 : 2,154.74 = 853.26 : x
  2. Step 2: Convert to fraction form
    1,561.40/2,154.74 = 853.26/x
  3. Step 3: Cross multiply
    1,561.40x = 2,154.74 × 853.26
  4. Step 4: Simplify right side
    1,561.40x = 1,838,553.45
  5. Step 5: Solve for x
    x = 1,838,553.45/1,561.40
  6. Step 6: Final answer
    x = 1,177.50

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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.