Home / 1,466.76-2,198.85-947.16

Finding the Fourth Proportional to 1,466.76, 2,198.85 and 947.16

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Solution

The fourth proportional to 1,466.76, 2,198.85 and 947.16 is: 1,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.76 : 2,198.85 = 947.16 : x
  2. Step 2: Convert to fraction form
    1,466.76/2,198.85 = 947.16/x
  3. Step 3: Cross multiply
    1,466.76x = 2,198.85 × 947.16
  4. Step 4: Simplify right side
    1,466.76x = 2,082,662.77
  5. Step 5: Solve for x
    x = 2,082,662.77/1,466.76
  6. Step 6: Final answer
    x = 1,419.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.