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Finding the Fourth Proportional to 3,134.94, 4,703.01 and 1,188.51

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Solution

The fourth proportional to 3,134.94, 4,703.01 and 1,188.51 is: 1,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.94 : 4,703.01 = 1,188.51 : x
  2. Step 2: Convert to fraction form
    3,134.94/4,703.01 = 1,188.51/x
  3. Step 3: Cross multiply
    3,134.94x = 4,703.01 × 1,188.51
  4. Step 4: Simplify right side
    3,134.94x = 5,589,574.42
  5. Step 5: Solve for x
    x = 5,589,574.42/3,134.94
  6. Step 6: Final answer
    x = 1,782.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.