Home / 2,180.40-3,270.59-947.64

Finding the Fourth Proportional to 2,180.40, 3,270.59 and 947.64

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Solution

The fourth proportional to 2,180.40, 3,270.59 and 947.64 is: 1,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.40 : 3,270.59 = 947.64 : x
  2. Step 2: Convert to fraction form
    2,180.40/3,270.59 = 947.64/x
  3. Step 3: Cross multiply
    2,180.40x = 3,270.59 × 947.64
  4. Step 4: Simplify right side
    2,180.40x = 3,099,337.17
  5. Step 5: Solve for x
    x = 3,099,337.17/2,180.40
  6. Step 6: Final answer
    x = 1,421.45

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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.