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Finding the Fourth Proportional to 2,298.16, 3,438.19 and 1,774.09

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Solution

The fourth proportional to 2,298.16, 3,438.19 and 1,774.09 is: 2,654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.16 : 3,438.19 = 1,774.09 : x
  2. Step 2: Convert to fraction form
    2,298.16/3,438.19 = 1,774.09/x
  3. Step 3: Cross multiply
    2,298.16x = 3,438.19 × 1,774.09
  4. Step 4: Simplify right side
    2,298.16x = 6,099,658.50
  5. Step 5: Solve for x
    x = 6,099,658.50/2,298.16
  6. Step 6: Final answer
    x = 2,654.15

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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.