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Finding the Fourth Proportional to 1,184.61, 1,768.36 and 1,038.81

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Solution

The fourth proportional to 1,184.61, 1,768.36 and 1,038.81 is: 1,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.61 : 1,768.36 = 1,038.81 : x
  2. Step 2: Convert to fraction form
    1,184.61/1,768.36 = 1,038.81/x
  3. Step 3: Cross multiply
    1,184.61x = 1,768.36 × 1,038.81
  4. Step 4: Simplify right side
    1,184.61x = 1,836,990.05
  5. Step 5: Solve for x
    x = 1,836,990.05/1,184.61
  6. Step 6: Final answer
    x = 1,550.71

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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.