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Finding the Fourth Proportional to 1,416.46, 1,954.41 and 856.82

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Solution

The fourth proportional to 1,416.46, 1,954.41 and 856.82 is: 1,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.46 : 1,954.41 = 856.82 : x
  2. Step 2: Convert to fraction form
    1,416.46/1,954.41 = 856.82/x
  3. Step 3: Cross multiply
    1,416.46x = 1,954.41 × 856.82
  4. Step 4: Simplify right side
    1,416.46x = 1,674,573.08
  5. Step 5: Solve for x
    x = 1,674,573.08/1,416.46
  6. Step 6: Final answer
    x = 1,182.22

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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.