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Finding the Fourth Proportional to 2,743.02, 3,785.40 and 1,501.02

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Solution

The fourth proportional to 2,743.02, 3,785.40 and 1,501.02 is: 2,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.02 : 3,785.40 = 1,501.02 : x
  2. Step 2: Convert to fraction form
    2,743.02/3,785.40 = 1,501.02/x
  3. Step 3: Cross multiply
    2,743.02x = 3,785.40 × 1,501.02
  4. Step 4: Simplify right side
    2,743.02x = 5,681,961.11
  5. Step 5: Solve for x
    x = 5,681,961.11/2,743.02
  6. Step 6: Final answer
    x = 2,071.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.