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Finding the Fourth Proportional to 3,068.66, 4,601.97 and 988.18

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Solution

The fourth proportional to 3,068.66, 4,601.97 and 988.18 is: 1,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.66 : 4,601.97 = 988.18 : x
  2. Step 2: Convert to fraction form
    3,068.66/4,601.97 = 988.18/x
  3. Step 3: Cross multiply
    3,068.66x = 4,601.97 × 988.18
  4. Step 4: Simplify right side
    3,068.66x = 4,547,551.70
  5. Step 5: Solve for x
    x = 4,547,551.70/3,068.66
  6. Step 6: Final answer
    x = 1,481.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.