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Finding the Fourth Proportional to 1,473.39, 2,211.03 and 824.58

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Solution

The fourth proportional to 1,473.39, 2,211.03 and 824.58 is: 1,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.39 : 2,211.03 = 824.58 : x
  2. Step 2: Convert to fraction form
    1,473.39/2,211.03 = 824.58/x
  3. Step 3: Cross multiply
    1,473.39x = 2,211.03 × 824.58
  4. Step 4: Simplify right side
    1,473.39x = 1,823,171.12
  5. Step 5: Solve for x
    x = 1,823,171.12/1,473.39
  6. Step 6: Final answer
    x = 1,237.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.