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Finding the Fourth Proportional to 2,095.62, 3,119.47 and 2,064.48

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Solution

The fourth proportional to 2,095.62, 3,119.47 and 2,064.48 is: 3,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.62 : 3,119.47 = 2,064.48 : x
  2. Step 2: Convert to fraction form
    2,095.62/3,119.47 = 2,064.48/x
  3. Step 3: Cross multiply
    2,095.62x = 3,119.47 × 2,064.48
  4. Step 4: Simplify right side
    2,095.62x = 6,440,083.43
  5. Step 5: Solve for x
    x = 6,440,083.43/2,095.62
  6. Step 6: Final answer
    x = 3,073.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.