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Finding the Fourth Proportional to 3,068.44, 4,602.82 and 988.29

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Solution

The fourth proportional to 3,068.44, 4,602.82 and 988.29 is: 1,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.44 : 4,602.82 = 988.29 : x
  2. Step 2: Convert to fraction form
    3,068.44/4,602.82 = 988.29/x
  3. Step 3: Cross multiply
    3,068.44x = 4,602.82 × 988.29
  4. Step 4: Simplify right side
    3,068.44x = 4,548,920.98
  5. Step 5: Solve for x
    x = 4,548,920.98/3,068.44
  6. Step 6: Final answer
    x = 1,482.49

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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.