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Finding the Fourth Proportional to 1,318.98, 1,974.96 and 1,226.10

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Solution

The fourth proportional to 1,318.98, 1,974.96 and 1,226.10 is: 1,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.98 : 1,974.96 = 1,226.10 : x
  2. Step 2: Convert to fraction form
    1,318.98/1,974.96 = 1,226.10/x
  3. Step 3: Cross multiply
    1,318.98x = 1,974.96 × 1,226.10
  4. Step 4: Simplify right side
    1,318.98x = 2,421,498.46
  5. Step 5: Solve for x
    x = 2,421,498.46/1,318.98
  6. Step 6: Final answer
    x = 1,835.89

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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.