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Finding the Fourth Proportional to 1,713.14, 2,569.14 and 617.25

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Solution

The fourth proportional to 1,713.14, 2,569.14 and 617.25 is: 925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.14 : 2,569.14 = 617.25 : x
  2. Step 2: Convert to fraction form
    1,713.14/2,569.14 = 617.25/x
  3. Step 3: Cross multiply
    1,713.14x = 2,569.14 × 617.25
  4. Step 4: Simplify right side
    1,713.14x = 1,585,801.67
  5. Step 5: Solve for x
    x = 1,585,801.67/1,713.14
  6. Step 6: Final answer
    x = 925.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.