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Finding the Fourth Proportional to 2,865.32, 4,298.52 and 1,892.24

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Solution

The fourth proportional to 2,865.32, 4,298.52 and 1,892.24 is: 2,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.32 : 4,298.52 = 1,892.24 : x
  2. Step 2: Convert to fraction form
    2,865.32/4,298.52 = 1,892.24/x
  3. Step 3: Cross multiply
    2,865.32x = 4,298.52 × 1,892.24
  4. Step 4: Simplify right side
    2,865.32x = 8,133,831.48
  5. Step 5: Solve for x
    x = 8,133,831.48/2,865.32
  6. Step 6: Final answer
    x = 2,838.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.