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Finding the Fourth Proportional to 1,652.05, 2,279.88 and 943.74

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Solution

The fourth proportional to 1,652.05, 2,279.88 and 943.74 is: 1,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.05 : 2,279.88 = 943.74 : x
  2. Step 2: Convert to fraction form
    1,652.05/2,279.88 = 943.74/x
  3. Step 3: Cross multiply
    1,652.05x = 2,279.88 × 943.74
  4. Step 4: Simplify right side
    1,652.05x = 2,151,597.83
  5. Step 5: Solve for x
    x = 2,151,597.83/1,652.05
  6. Step 6: Final answer
    x = 1,302.38

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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.