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Finding the Fourth Proportional to 1,810.81, 2,716.23 and 989.78

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Solution

The fourth proportional to 1,810.81, 2,716.23 and 989.78 is: 1,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.81 : 2,716.23 = 989.78 : x
  2. Step 2: Convert to fraction form
    1,810.81/2,716.23 = 989.78/x
  3. Step 3: Cross multiply
    1,810.81x = 2,716.23 × 989.78
  4. Step 4: Simplify right side
    1,810.81x = 2,688,460.26
  5. Step 5: Solve for x
    x = 2,688,460.26/1,810.81
  6. Step 6: Final answer
    x = 1,484.67

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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.