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Finding the Fourth Proportional to 1,468.36, 2,028.14 and 1,188.91

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Solution

The fourth proportional to 1,468.36, 2,028.14 and 1,188.91 is: 1,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.36 : 2,028.14 = 1,188.91 : x
  2. Step 2: Convert to fraction form
    1,468.36/2,028.14 = 1,188.91/x
  3. Step 3: Cross multiply
    1,468.36x = 2,028.14 × 1,188.91
  4. Step 4: Simplify right side
    1,468.36x = 2,411,275.93
  5. Step 5: Solve for x
    x = 2,411,275.93/1,468.36
  6. Step 6: Final answer
    x = 1,642.16

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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.