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Finding the Fourth Proportional to 2,473.17, 3,709.80 and 1,384.47

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Solution

The fourth proportional to 2,473.17, 3,709.80 and 1,384.47 is: 2,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.17 : 3,709.80 = 1,384.47 : x
  2. Step 2: Convert to fraction form
    2,473.17/3,709.80 = 1,384.47/x
  3. Step 3: Cross multiply
    2,473.17x = 3,709.80 × 1,384.47
  4. Step 4: Simplify right side
    2,473.17x = 5,136,106.81
  5. Step 5: Solve for x
    x = 5,136,106.81/2,473.17
  6. Step 6: Final answer
    x = 2,076.73

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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.