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Finding the Fourth Proportional to 1,770.20, 2,442.90 and 973.61

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Solution

The fourth proportional to 1,770.20, 2,442.90 and 973.61 is: 1,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.20 : 2,442.90 = 973.61 : x
  2. Step 2: Convert to fraction form
    1,770.20/2,442.90 = 973.61/x
  3. Step 3: Cross multiply
    1,770.20x = 2,442.90 × 973.61
  4. Step 4: Simplify right side
    1,770.20x = 2,378,419.65
  5. Step 5: Solve for x
    x = 2,378,419.65/1,770.20
  6. Step 6: Final answer
    x = 1,343.59

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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.