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Finding the Fourth Proportional to 2,325.60, 3,488.54 and 938.76

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Solution

The fourth proportional to 2,325.60, 3,488.54 and 938.76 is: 1,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.60 : 3,488.54 = 938.76 : x
  2. Step 2: Convert to fraction form
    2,325.60/3,488.54 = 938.76/x
  3. Step 3: Cross multiply
    2,325.60x = 3,488.54 × 938.76
  4. Step 4: Simplify right side
    2,325.60x = 3,274,901.81
  5. Step 5: Solve for x
    x = 3,274,901.81/2,325.60
  6. Step 6: Final answer
    x = 1,408.20

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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.