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Finding the Fourth Proportional to 1,760.59, 2,429.99 and 1,465.57

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Solution

The fourth proportional to 1,760.59, 2,429.99 and 1,465.57 is: 2,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.59 : 2,429.99 = 1,465.57 : x
  2. Step 2: Convert to fraction form
    1,760.59/2,429.99 = 1,465.57/x
  3. Step 3: Cross multiply
    1,760.59x = 2,429.99 × 1,465.57
  4. Step 4: Simplify right side
    1,760.59x = 3,561,320.44
  5. Step 5: Solve for x
    x = 3,561,320.44/1,760.59
  6. Step 6: Final answer
    x = 2,022.80

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