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Finding the Fourth Proportional to 1,416.84, 2,125.12 and 376.81

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Solution

The fourth proportional to 1,416.84, 2,125.12 and 376.81 is: 565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.84 : 2,125.12 = 376.81 : x
  2. Step 2: Convert to fraction form
    1,416.84/2,125.12 = 376.81/x
  3. Step 3: Cross multiply
    1,416.84x = 2,125.12 × 376.81
  4. Step 4: Simplify right side
    1,416.84x = 800,766.47
  5. Step 5: Solve for x
    x = 800,766.47/1,416.84
  6. Step 6: Final answer
    x = 565.18

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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.