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Finding the Fourth Proportional to 2,095.46, 2,892.11 and 1,432.07

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Solution

The fourth proportional to 2,095.46, 2,892.11 and 1,432.07 is: 1,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.46 : 2,892.11 = 1,432.07 : x
  2. Step 2: Convert to fraction form
    2,095.46/2,892.11 = 1,432.07/x
  3. Step 3: Cross multiply
    2,095.46x = 2,892.11 × 1,432.07
  4. Step 4: Simplify right side
    2,095.46x = 4,141,682.35
  5. Step 5: Solve for x
    x = 4,141,682.35/2,095.46
  6. Step 6: Final answer
    x = 1,976.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.