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Finding the Fourth Proportional to 1,416.46, 1,955.67 and 1,043.86

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Solution

The fourth proportional to 1,416.46, 1,955.67 and 1,043.86 is: 1,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.46 : 1,955.67 = 1,043.86 : x
  2. Step 2: Convert to fraction form
    1,416.46/1,955.67 = 1,043.86/x
  3. Step 3: Cross multiply
    1,416.46x = 1,955.67 × 1,043.86
  4. Step 4: Simplify right side
    1,416.46x = 2,041,445.69
  5. Step 5: Solve for x
    x = 2,041,445.69/1,416.46
  6. Step 6: Final answer
    x = 1,441.23

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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.