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Finding the Fourth Proportional to 1,778.16, 2,668.64 and 1,234.17

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Solution

The fourth proportional to 1,778.16, 2,668.64 and 1,234.17 is: 1,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.16 : 2,668.64 = 1,234.17 : x
  2. Step 2: Convert to fraction form
    1,778.16/2,668.64 = 1,234.17/x
  3. Step 3: Cross multiply
    1,778.16x = 2,668.64 × 1,234.17
  4. Step 4: Simplify right side
    1,778.16x = 3,293,549.26
  5. Step 5: Solve for x
    x = 3,293,549.26/1,778.16
  6. Step 6: Final answer
    x = 1,852.22

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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.