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Finding the Fourth Proportional to 2,269.34, 3,402.60 and 1,488.39

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Solution

The fourth proportional to 2,269.34, 3,402.60 and 1,488.39 is: 2,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.34 : 3,402.60 = 1,488.39 : x
  2. Step 2: Convert to fraction form
    2,269.34/3,402.60 = 1,488.39/x
  3. Step 3: Cross multiply
    2,269.34x = 3,402.60 × 1,488.39
  4. Step 4: Simplify right side
    2,269.34x = 5,064,395.81
  5. Step 5: Solve for x
    x = 5,064,395.81/2,269.34
  6. Step 6: Final answer
    x = 2,231.67

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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.