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Finding the Fourth Proportional to 1,416.84, 2,125.42 and 376.89

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Solution

The fourth proportional to 1,416.84, 2,125.42 and 376.89 is: 565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.84 : 2,125.42 = 376.89 : x
  2. Step 2: Convert to fraction form
    1,416.84/2,125.42 = 376.89/x
  3. Step 3: Cross multiply
    1,416.84x = 2,125.42 × 376.89
  4. Step 4: Simplify right side
    1,416.84x = 801,043.28
  5. Step 5: Solve for x
    x = 801,043.28/1,416.84
  6. Step 6: Final answer
    x = 565.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.