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Finding the Fourth Proportional to 1,685.49, 2,324.54 and 1,421.24

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Solution

The fourth proportional to 1,685.49, 2,324.54 and 1,421.24 is: 1,960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.49 : 2,324.54 = 1,421.24 : x
  2. Step 2: Convert to fraction form
    1,685.49/2,324.54 = 1,421.24/x
  3. Step 3: Cross multiply
    1,685.49x = 2,324.54 × 1,421.24
  4. Step 4: Simplify right side
    1,685.49x = 3,303,710.50
  5. Step 5: Solve for x
    x = 3,303,710.50/1,685.49
  6. Step 6: Final answer
    x = 1,960.09

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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.