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Finding the Fourth Proportional to 1,770.24, 2,442.96 and 973.54

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Solution

The fourth proportional to 1,770.24, 2,442.96 and 973.54 is: 1,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.24 : 2,442.96 = 973.54 : x
  2. Step 2: Convert to fraction form
    1,770.24/2,442.96 = 973.54/x
  3. Step 3: Cross multiply
    1,770.24x = 2,442.96 × 973.54
  4. Step 4: Simplify right side
    1,770.24x = 2,378,319.28
  5. Step 5: Solve for x
    x = 2,378,319.28/1,770.24
  6. Step 6: Final answer
    x = 1,343.50

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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.