Home / 2,101.55-3,152.37-947.30

Finding the Fourth Proportional to 2,101.55, 3,152.37 and 947.30

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Solution

The fourth proportional to 2,101.55, 3,152.37 and 947.30 is: 1,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.55 : 3,152.37 = 947.30 : x
  2. Step 2: Convert to fraction form
    2,101.55/3,152.37 = 947.30/x
  3. Step 3: Cross multiply
    2,101.55x = 3,152.37 × 947.30
  4. Step 4: Simplify right side
    2,101.55x = 2,986,240.10
  5. Step 5: Solve for x
    x = 2,986,240.10/2,101.55
  6. Step 6: Final answer
    x = 1,420.97

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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.