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Finding the Fourth Proportional to 1,713.60, 2,569.79 and 617.67

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Solution

The fourth proportional to 1,713.60, 2,569.79 and 617.67 is: 926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.60 : 2,569.79 = 617.67 : x
  2. Step 2: Convert to fraction form
    1,713.60/2,569.79 = 617.67/x
  3. Step 3: Cross multiply
    1,713.60x = 2,569.79 × 617.67
  4. Step 4: Simplify right side
    1,713.60x = 1,587,279.10
  5. Step 5: Solve for x
    x = 1,587,279.10/1,713.60
  6. Step 6: Final answer
    x = 926.28

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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.