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Finding the Fourth Proportional to 1,988.61, 2,981.95 and 601.68

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Solution

The fourth proportional to 1,988.61, 2,981.95 and 601.68 is: 902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.61 : 2,981.95 = 601.68 : x
  2. Step 2: Convert to fraction form
    1,988.61/2,981.95 = 601.68/x
  3. Step 3: Cross multiply
    1,988.61x = 2,981.95 × 601.68
  4. Step 4: Simplify right side
    1,988.61x = 1,794,189.35
  5. Step 5: Solve for x
    x = 1,794,189.35/1,988.61
  6. Step 6: Final answer
    x = 902.23

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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.