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Finding the Fourth Proportional to 2,384.49, 3,290.59 and 1,389.92

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Solution

The fourth proportional to 2,384.49, 3,290.59 and 1,389.92 is: 1,918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.49 : 3,290.59 = 1,389.92 : x
  2. Step 2: Convert to fraction form
    2,384.49/3,290.59 = 1,389.92/x
  3. Step 3: Cross multiply
    2,384.49x = 3,290.59 × 1,389.92
  4. Step 4: Simplify right side
    2,384.49x = 4,573,656.85
  5. Step 5: Solve for x
    x = 4,573,656.85/2,384.49
  6. Step 6: Final answer
    x = 1,918.09

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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.