Home / 1,467.24-2,201.13-947.00

Finding the Fourth Proportional to 1,467.24, 2,201.13 and 947.00

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Solution

The fourth proportional to 1,467.24, 2,201.13 and 947.00 is: 1,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.24 : 2,201.13 = 947.00 : x
  2. Step 2: Convert to fraction form
    1,467.24/2,201.13 = 947.00/x
  3. Step 3: Cross multiply
    1,467.24x = 2,201.13 × 947.00
  4. Step 4: Simplify right side
    1,467.24x = 2,084,459.10
  5. Step 5: Solve for x
    x = 2,084,459.10/1,467.24
  6. Step 6: Final answer
    x = 1,420.67

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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.