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Finding the Fourth Proportional to 1,685.40, 2,322.90 and 1,353.24

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Solution

The fourth proportional to 1,685.40, 2,322.90 and 1,353.24 is: 1,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.40 : 2,322.90 = 1,353.24 : x
  2. Step 2: Convert to fraction form
    1,685.40/2,322.90 = 1,353.24/x
  3. Step 3: Cross multiply
    1,685.40x = 2,322.90 × 1,353.24
  4. Step 4: Simplify right side
    1,685.40x = 3,143,441.20
  5. Step 5: Solve for x
    x = 3,143,441.20/1,685.40
  6. Step 6: Final answer
    x = 1,865.10

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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.