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Finding the Fourth Proportional to 1,770.07, 2,442.72 and 984.19

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Solution

The fourth proportional to 1,770.07, 2,442.72 and 984.19 is: 1,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.07 : 2,442.72 = 984.19 : x
  2. Step 2: Convert to fraction form
    1,770.07/2,442.72 = 984.19/x
  3. Step 3: Cross multiply
    1,770.07x = 2,442.72 × 984.19
  4. Step 4: Simplify right side
    1,770.07x = 2,404,100.60
  5. Step 5: Solve for x
    x = 2,404,100.60/1,770.07
  6. Step 6: Final answer
    x = 1,358.20

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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.