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Finding the Fourth Proportional to 4,681.40, 7,023.04 and 1,759.73

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Solution

The fourth proportional to 4,681.40, 7,023.04 and 1,759.73 is: 2,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.40 : 7,023.04 = 1,759.73 : x
  2. Step 2: Convert to fraction form
    4,681.40/7,023.04 = 1,759.73/x
  3. Step 3: Cross multiply
    4,681.40x = 7,023.04 × 1,759.73
  4. Step 4: Simplify right side
    4,681.40x = 12,358,614.66
  5. Step 5: Solve for x
    x = 12,358,614.66/4,681.40
  6. Step 6: Final answer
    x = 2,639.94

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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.