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Finding the Fourth Proportional to 1,766.54, 2,437.80 and 980.60

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Solution

The fourth proportional to 1,766.54, 2,437.80 and 980.60 is: 1,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.54 : 2,437.80 = 980.60 : x
  2. Step 2: Convert to fraction form
    1,766.54/2,437.80 = 980.60/x
  3. Step 3: Cross multiply
    1,766.54x = 2,437.80 × 980.60
  4. Step 4: Simplify right side
    1,766.54x = 2,390,506.68
  5. Step 5: Solve for x
    x = 2,390,506.68/1,766.54
  6. Step 6: Final answer
    x = 1,353.21

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