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Finding the Fourth Proportional to 1,605.61, 2,407.08 and 681.89

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Solution

The fourth proportional to 1,605.61, 2,407.08 and 681.89 is: 1,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.61 : 2,407.08 = 681.89 : x
  2. Step 2: Convert to fraction form
    1,605.61/2,407.08 = 681.89/x
  3. Step 3: Cross multiply
    1,605.61x = 2,407.08 × 681.89
  4. Step 4: Simplify right side
    1,605.61x = 1,641,363.78
  5. Step 5: Solve for x
    x = 1,641,363.78/1,605.61
  6. Step 6: Final answer
    x = 1,022.27

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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.