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Finding the Fourth Proportional to 1,416.84, 1,955.43 and 1,066.92

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Solution

The fourth proportional to 1,416.84, 1,955.43 and 1,066.92 is: 1,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.84 : 1,955.43 = 1,066.92 : x
  2. Step 2: Convert to fraction form
    1,416.84/1,955.43 = 1,066.92/x
  3. Step 3: Cross multiply
    1,416.84x = 1,955.43 × 1,066.92
  4. Step 4: Simplify right side
    1,416.84x = 2,086,287.38
  5. Step 5: Solve for x
    x = 2,086,287.38/1,416.84
  6. Step 6: Final answer
    x = 1,472.49

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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.