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Finding the Fourth Proportional to 2,178.74, 3,006.65 and 1,184.06

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Solution

The fourth proportional to 2,178.74, 3,006.65 and 1,184.06 is: 1,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.74 : 3,006.65 = 1,184.06 : x
  2. Step 2: Convert to fraction form
    2,178.74/3,006.65 = 1,184.06/x
  3. Step 3: Cross multiply
    2,178.74x = 3,006.65 × 1,184.06
  4. Step 4: Simplify right side
    2,178.74x = 3,560,064.48
  5. Step 5: Solve for x
    x = 3,560,064.48/2,178.74
  6. Step 6: Final answer
    x = 1,634.00

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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.