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Finding the Fourth Proportional to 1,827.02, 2,742.57 and 732.14

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Solution

The fourth proportional to 1,827.02, 2,742.57 and 732.14 is: 1,099.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.02 : 2,742.57 = 732.14 : x
  2. Step 2: Convert to fraction form
    1,827.02/2,742.57 = 732.14/x
  3. Step 3: Cross multiply
    1,827.02x = 2,742.57 × 732.14
  4. Step 4: Simplify right side
    1,827.02x = 2,007,952.06
  5. Step 5: Solve for x
    x = 2,007,952.06/1,827.02
  6. Step 6: Final answer
    x = 1,099.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.