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Finding the Fourth Proportional to 2,898.39, 4,000.40 and 2,267.67

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Solution

The fourth proportional to 2,898.39, 4,000.40 and 2,267.67 is: 3,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.39 : 4,000.40 = 2,267.67 : x
  2. Step 2: Convert to fraction form
    2,898.39/4,000.40 = 2,267.67/x
  3. Step 3: Cross multiply
    2,898.39x = 4,000.40 × 2,267.67
  4. Step 4: Simplify right side
    2,898.39x = 9,071,587.07
  5. Step 5: Solve for x
    x = 9,071,587.07/2,898.39
  6. Step 6: Final answer
    x = 3,129.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.