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Finding the Fourth Proportional to 1,317.71, 1,968.02 and 1,194.07

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Solution

The fourth proportional to 1,317.71, 1,968.02 and 1,194.07 is: 1,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.71 : 1,968.02 = 1,194.07 : x
  2. Step 2: Convert to fraction form
    1,317.71/1,968.02 = 1,194.07/x
  3. Step 3: Cross multiply
    1,317.71x = 1,968.02 × 1,194.07
  4. Step 4: Simplify right side
    1,317.71x = 2,349,942.75
  5. Step 5: Solve for x
    x = 2,349,942.75/1,317.71
  6. Step 6: Final answer
    x = 1,783.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.