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Finding the Fourth Proportional to 1,378.69, 2,057.92 and 1,184.93

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Solution

The fourth proportional to 1,378.69, 2,057.92 and 1,184.93 is: 1,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.69 : 2,057.92 = 1,184.93 : x
  2. Step 2: Convert to fraction form
    1,378.69/2,057.92 = 1,184.93/x
  3. Step 3: Cross multiply
    1,378.69x = 2,057.92 × 1,184.93
  4. Step 4: Simplify right side
    1,378.69x = 2,438,477.89
  5. Step 5: Solve for x
    x = 2,438,477.89/1,378.69
  6. Step 6: Final answer
    x = 1,768.70

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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.