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Finding the Fourth Proportional to 1,759.51, 2,638.07 and 719.20

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Solution

The fourth proportional to 1,759.51, 2,638.07 and 719.20 is: 1,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.51 : 2,638.07 = 719.20 : x
  2. Step 2: Convert to fraction form
    1,759.51/2,638.07 = 719.20/x
  3. Step 3: Cross multiply
    1,759.51x = 2,638.07 × 719.20
  4. Step 4: Simplify right side
    1,759.51x = 1,897,309.76
  5. Step 5: Solve for x
    x = 1,897,309.76/1,759.51
  6. Step 6: Final answer
    x = 1,078.32

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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.