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Finding the Fourth Proportional to 2,989.70, 4,486.87 and 2,071.69

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Solution

The fourth proportional to 2,989.70, 4,486.87 and 2,071.69 is: 3,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.70 : 4,486.87 = 2,071.69 : x
  2. Step 2: Convert to fraction form
    2,989.70/4,486.87 = 2,071.69/x
  3. Step 3: Cross multiply
    2,989.70x = 4,486.87 × 2,071.69
  4. Step 4: Simplify right side
    2,989.70x = 9,295,403.71
  5. Step 5: Solve for x
    x = 9,295,403.71/2,989.70
  6. Step 6: Final answer
    x = 3,109.14

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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.