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Finding the Fourth Proportional to 1,759.59, 2,428.61 and 1,464.57

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Solution

The fourth proportional to 1,759.59, 2,428.61 and 1,464.57 is: 2,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.59 : 2,428.61 = 1,464.57 : x
  2. Step 2: Convert to fraction form
    1,759.59/2,428.61 = 1,464.57/x
  3. Step 3: Cross multiply
    1,759.59x = 2,428.61 × 1,464.57
  4. Step 4: Simplify right side
    1,759.59x = 3,556,862.02
  5. Step 5: Solve for x
    x = 3,556,862.02/1,759.59
  6. Step 6: Final answer
    x = 2,021.42

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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.