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Finding the Fourth Proportional to 2,095.76, 2,892.12 and 1,164.24

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Solution

The fourth proportional to 2,095.76, 2,892.12 and 1,164.24 is: 1,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.76 : 2,892.12 = 1,164.24 : x
  2. Step 2: Convert to fraction form
    2,095.76/2,892.12 = 1,164.24/x
  3. Step 3: Cross multiply
    2,095.76x = 2,892.12 × 1,164.24
  4. Step 4: Simplify right side
    2,095.76x = 3,367,121.79
  5. Step 5: Solve for x
    x = 3,367,121.79/2,095.76
  6. Step 6: Final answer
    x = 1,606.64

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1.5x scale

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.