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Finding the Fourth Proportional to 1,708.66, 2,564.79 and 1,223.38

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Solution

The fourth proportional to 1,708.66, 2,564.79 and 1,223.38 is: 1,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.66 : 2,564.79 = 1,223.38 : x
  2. Step 2: Convert to fraction form
    1,708.66/2,564.79 = 1,223.38/x
  3. Step 3: Cross multiply
    1,708.66x = 2,564.79 × 1,223.38
  4. Step 4: Simplify right side
    1,708.66x = 3,137,712.79
  5. Step 5: Solve for x
    x = 3,137,712.79/1,708.66
  6. Step 6: Final answer
    x = 1,836.36

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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.