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Finding the Fourth Proportional to 2,071.29, 3,102.74 and 959.14

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Solution

The fourth proportional to 2,071.29, 3,102.74 and 959.14 is: 1,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.29 : 3,102.74 = 959.14 : x
  2. Step 2: Convert to fraction form
    2,071.29/3,102.74 = 959.14/x
  3. Step 3: Cross multiply
    2,071.29x = 3,102.74 × 959.14
  4. Step 4: Simplify right side
    2,071.29x = 2,975,962.04
  5. Step 5: Solve for x
    x = 2,975,962.04/2,071.29
  6. Step 6: Final answer
    x = 1,436.77

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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.