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Finding the Fourth Proportional to 1,709.24, 2,564.06 and 613.51

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Solution

The fourth proportional to 1,709.24, 2,564.06 and 613.51 is: 920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.24 : 2,564.06 = 613.51 : x
  2. Step 2: Convert to fraction form
    1,709.24/2,564.06 = 613.51/x
  3. Step 3: Cross multiply
    1,709.24x = 2,564.06 × 613.51
  4. Step 4: Simplify right side
    1,709.24x = 1,573,066.97
  5. Step 5: Solve for x
    x = 1,573,066.97/1,709.24
  6. Step 6: Final answer
    x = 920.33

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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.