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Finding the Fourth Proportional to 2,291.47, 3,164.81 and 1,548.50

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Solution

The fourth proportional to 2,291.47, 3,164.81 and 1,548.50 is: 2,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.47 : 3,164.81 = 1,548.50 : x
  2. Step 2: Convert to fraction form
    2,291.47/3,164.81 = 1,548.50/x
  3. Step 3: Cross multiply
    2,291.47x = 3,164.81 × 1,548.50
  4. Step 4: Simplify right side
    2,291.47x = 4,900,684.72
  5. Step 5: Solve for x
    x = 4,900,684.72/2,291.47
  6. Step 6: Final answer
    x = 2,138.67

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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.