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Finding the Fourth Proportional to 1,720.99, 2,374.58 and 974.78

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Solution

The fourth proportional to 1,720.99, 2,374.58 and 974.78 is: 1,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.99 : 2,374.58 = 974.78 : x
  2. Step 2: Convert to fraction form
    1,720.99/2,374.58 = 974.78/x
  3. Step 3: Cross multiply
    1,720.99x = 2,374.58 × 974.78
  4. Step 4: Simplify right side
    1,720.99x = 2,314,687.08
  5. Step 5: Solve for x
    x = 2,314,687.08/1,720.99
  6. Step 6: Final answer
    x = 1,344.97

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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.