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Finding the Fourth Proportional to 4,681.48, 7,022.70 and 1,759

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Solution

The fourth proportional to 4,681.48, 7,022.70 and 1,759 is: 2,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.48 : 7,022.70 = 1,759 : x
  2. Step 2: Convert to fraction form
    4,681.48/7,022.70 = 1,759/x
  3. Step 3: Cross multiply
    4,681.48x = 7,022.70 × 1,759
  4. Step 4: Simplify right side
    4,681.48x = 12,352,929.30
  5. Step 5: Solve for x
    x = 12,352,929.30/4,681.48
  6. Step 6: Final answer
    x = 2,638.68

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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.