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Finding the Fourth Proportional to 1,668.46, 2,301.56 and 1,354.08

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Solution

The fourth proportional to 1,668.46, 2,301.56 and 1,354.08 is: 1,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.46 : 2,301.56 = 1,354.08 : x
  2. Step 2: Convert to fraction form
    1,668.46/2,301.56 = 1,354.08/x
  3. Step 3: Cross multiply
    1,668.46x = 2,301.56 × 1,354.08
  4. Step 4: Simplify right side
    1,668.46x = 3,116,496.36
  5. Step 5: Solve for x
    x = 3,116,496.36/1,668.46
  6. Step 6: Final answer
    x = 1,867.89

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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.