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Finding the Fourth Proportional to 1,724.79, 2,570.70 and 1,394.31

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Solution

The fourth proportional to 1,724.79, 2,570.70 and 1,394.31 is: 2,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.79 : 2,570.70 = 1,394.31 : x
  2. Step 2: Convert to fraction form
    1,724.79/2,570.70 = 1,394.31/x
  3. Step 3: Cross multiply
    1,724.79x = 2,570.70 × 1,394.31
  4. Step 4: Simplify right side
    1,724.79x = 3,584,352.72
  5. Step 5: Solve for x
    x = 3,584,352.72/1,724.79
  6. Step 6: Final answer
    x = 2,078.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.