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Finding the Fourth Proportional to 1,446.52, 1,995.81 and 856.84

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Solution

The fourth proportional to 1,446.52, 1,995.81 and 856.84 is: 1,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.52 : 1,995.81 = 856.84 : x
  2. Step 2: Convert to fraction form
    1,446.52/1,995.81 = 856.84/x
  3. Step 3: Cross multiply
    1,446.52x = 1,995.81 × 856.84
  4. Step 4: Simplify right side
    1,446.52x = 1,710,089.84
  5. Step 5: Solve for x
    x = 1,710,089.84/1,446.52
  6. Step 6: Final answer
    x = 1,182.21

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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.