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Finding the Fourth Proportional to 1,493.71, 2,237.49 and 1,384.36

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Solution

The fourth proportional to 1,493.71, 2,237.49 and 1,384.36 is: 2,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.71 : 2,237.49 = 1,384.36 : x
  2. Step 2: Convert to fraction form
    1,493.71/2,237.49 = 1,384.36/x
  3. Step 3: Cross multiply
    1,493.71x = 2,237.49 × 1,384.36
  4. Step 4: Simplify right side
    1,493.71x = 3,097,486.06
  5. Step 5: Solve for x
    x = 3,097,486.06/1,493.71
  6. Step 6: Final answer
    x = 2,073.69

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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.