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Finding the Fourth Proportional to 1,668.96, 2,302.16 and 1,228

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Solution

The fourth proportional to 1,668.96, 2,302.16 and 1,228 is: 1,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.96 : 2,302.16 = 1,228 : x
  2. Step 2: Convert to fraction form
    1,668.96/2,302.16 = 1,228/x
  3. Step 3: Cross multiply
    1,668.96x = 2,302.16 × 1,228
  4. Step 4: Simplify right side
    1,668.96x = 2,827,052.48
  5. Step 5: Solve for x
    x = 2,827,052.48/1,668.96
  6. Step 6: Final answer
    x = 1,693.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.