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Finding the Fourth Proportional to 1,759.96, 2,428.72 and 974.01

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Solution

The fourth proportional to 1,759.96, 2,428.72 and 974.01 is: 1,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.96 : 2,428.72 = 974.01 : x
  2. Step 2: Convert to fraction form
    1,759.96/2,428.72 = 974.01/x
  3. Step 3: Cross multiply
    1,759.96x = 2,428.72 × 974.01
  4. Step 4: Simplify right side
    1,759.96x = 2,365,597.57
  5. Step 5: Solve for x
    x = 2,365,597.57/1,759.96
  6. Step 6: Final answer
    x = 1,344.12

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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.