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Finding the Fourth Proportional to 1,467.19, 2,024.61 and 803.93

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Solution

The fourth proportional to 1,467.19, 2,024.61 and 803.93 is: 1,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.19 : 2,024.61 = 803.93 : x
  2. Step 2: Convert to fraction form
    1,467.19/2,024.61 = 803.93/x
  3. Step 3: Cross multiply
    1,467.19x = 2,024.61 × 803.93
  4. Step 4: Simplify right side
    1,467.19x = 1,627,644.72
  5. Step 5: Solve for x
    x = 1,627,644.72/1,467.19
  6. Step 6: Final answer
    x = 1,109.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.