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Finding the Fourth Proportional to 3,012.91, 4,157.74 and 1,668.58

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Solution

The fourth proportional to 3,012.91, 4,157.74 and 1,668.58 is: 2,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.91 : 4,157.74 = 1,668.58 : x
  2. Step 2: Convert to fraction form
    3,012.91/4,157.74 = 1,668.58/x
  3. Step 3: Cross multiply
    3,012.91x = 4,157.74 × 1,668.58
  4. Step 4: Simplify right side
    3,012.91x = 6,937,521.81
  5. Step 5: Solve for x
    x = 6,937,521.81/3,012.91
  6. Step 6: Final answer
    x = 2,302.60

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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.