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Finding the Fourth Proportional to 1,766.75, 2,438.00 and 980.81

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Solution

The fourth proportional to 1,766.75, 2,438.00 and 980.81 is: 1,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.75 : 2,438.00 = 980.81 : x
  2. Step 2: Convert to fraction form
    1,766.75/2,438.00 = 980.81/x
  3. Step 3: Cross multiply
    1,766.75x = 2,438.00 × 980.81
  4. Step 4: Simplify right side
    1,766.75x = 2,391,210.51
  5. Step 5: Solve for x
    x = 2,391,210.51/1,766.75
  6. Step 6: Final answer
    x = 1,353.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.