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Finding the Fourth Proportional to 1,464, 2,195.76 and 1,029.84

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Solution

The fourth proportional to 1,464, 2,195.76 and 1,029.84 is: 1,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464 : 2,195.76 = 1,029.84 : x
  2. Step 2: Convert to fraction form
    1,464/2,195.76 = 1,029.84/x
  3. Step 3: Cross multiply
    1,464x = 2,195.76 × 1,029.84
  4. Step 4: Simplify right side
    1,464x = 2,261,281.48
  5. Step 5: Solve for x
    x = 2,261,281.48/1,464
  6. Step 6: Final answer
    x = 1,544.59

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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.