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Finding the Fourth Proportional to 1,853.39, 2,780.01 and 466.70

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Solution

The fourth proportional to 1,853.39, 2,780.01 and 466.70 is: 700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.39 : 2,780.01 = 466.70 : x
  2. Step 2: Convert to fraction form
    1,853.39/2,780.01 = 466.70/x
  3. Step 3: Cross multiply
    1,853.39x = 2,780.01 × 466.70
  4. Step 4: Simplify right side
    1,853.39x = 1,297,436.45
  5. Step 5: Solve for x
    x = 1,297,436.45/1,853.39
  6. Step 6: Final answer
    x = 700.04

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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.