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Finding the Fourth Proportional to 1,721.44, 2,580 and 1,028.62

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Solution

The fourth proportional to 1,721.44, 2,580 and 1,028.62 is: 1,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.44 : 2,580 = 1,028.62 : x
  2. Step 2: Convert to fraction form
    1,721.44/2,580 = 1,028.62/x
  3. Step 3: Cross multiply
    1,721.44x = 2,580 × 1,028.62
  4. Step 4: Simplify right side
    1,721.44x = 2,653,839.60
  5. Step 5: Solve for x
    x = 2,653,839.60/1,721.44
  6. Step 6: Final answer
    x = 1,541.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.