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Finding the Fourth Proportional to 2,095.67, 2,892.05 and 1,151.55

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Solution

The fourth proportional to 2,095.67, 2,892.05 and 1,151.55 is: 1,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.67 : 2,892.05 = 1,151.55 : x
  2. Step 2: Convert to fraction form
    2,095.67/2,892.05 = 1,151.55/x
  3. Step 3: Cross multiply
    2,095.67x = 2,892.05 × 1,151.55
  4. Step 4: Simplify right side
    2,095.67x = 3,330,340.18
  5. Step 5: Solve for x
    x = 3,330,340.18/2,095.67
  6. Step 6: Final answer
    x = 1,589.16

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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.