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Finding the Fourth Proportional to 1,744.64, 2,406.71 and 1,184.93

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Solution

The fourth proportional to 1,744.64, 2,406.71 and 1,184.93 is: 1,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.64 : 2,406.71 = 1,184.93 : x
  2. Step 2: Convert to fraction form
    1,744.64/2,406.71 = 1,184.93/x
  3. Step 3: Cross multiply
    1,744.64x = 2,406.71 × 1,184.93
  4. Step 4: Simplify right side
    1,744.64x = 2,851,776.96
  5. Step 5: Solve for x
    x = 2,851,776.96/1,744.64
  6. Step 6: Final answer
    x = 1,634.59

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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.