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Finding the Fourth Proportional to 3,138, 4,330.46 and 1,740.76

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Solution

The fourth proportional to 3,138, 4,330.46 and 1,740.76 is: 2,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138 : 4,330.46 = 1,740.76 : x
  2. Step 2: Convert to fraction form
    3,138/4,330.46 = 1,740.76/x
  3. Step 3: Cross multiply
    3,138x = 4,330.46 × 1,740.76
  4. Step 4: Simplify right side
    3,138x = 7,538,291.55
  5. Step 5: Solve for x
    x = 7,538,291.55/3,138
  6. Step 6: Final answer
    x = 2,402.26

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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.