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Finding the Fourth Proportional to 2,071.32, 3,107.16 and 755.40

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Solution

The fourth proportional to 2,071.32, 3,107.16 and 755.40 is: 1,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.32 : 3,107.16 = 755.40 : x
  2. Step 2: Convert to fraction form
    2,071.32/3,107.16 = 755.40/x
  3. Step 3: Cross multiply
    2,071.32x = 3,107.16 × 755.40
  4. Step 4: Simplify right side
    2,071.32x = 2,347,148.66
  5. Step 5: Solve for x
    x = 2,347,148.66/2,071.32
  6. Step 6: Final answer
    x = 1,133.17

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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.