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Finding the Fourth Proportional to 3,070.36, 4,605.97 and 989.68

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Solution

The fourth proportional to 3,070.36, 4,605.97 and 989.68 is: 1,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.36 : 4,605.97 = 989.68 : x
  2. Step 2: Convert to fraction form
    3,070.36/4,605.97 = 989.68/x
  3. Step 3: Cross multiply
    3,070.36x = 4,605.97 × 989.68
  4. Step 4: Simplify right side
    3,070.36x = 4,558,436.39
  5. Step 5: Solve for x
    x = 4,558,436.39/3,070.36
  6. Step 6: Final answer
    x = 1,484.66

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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.