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Finding the Fourth Proportional to 1,769.67, 2,442.18 and 973.02

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Solution

The fourth proportional to 1,769.67, 2,442.18 and 973.02 is: 1,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.67 : 2,442.18 = 973.02 : x
  2. Step 2: Convert to fraction form
    1,769.67/2,442.18 = 973.02/x
  3. Step 3: Cross multiply
    1,769.67x = 2,442.18 × 973.02
  4. Step 4: Simplify right side
    1,769.67x = 2,376,289.98
  5. Step 5: Solve for x
    x = 2,376,289.98/1,769.67
  6. Step 6: Final answer
    x = 1,342.79

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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.