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Finding the Fourth Proportional to 1,612.84, 2,419.28 and 572.82

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Solution

The fourth proportional to 1,612.84, 2,419.28 and 572.82 is: 859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.84 : 2,419.28 = 572.82 : x
  2. Step 2: Convert to fraction form
    1,612.84/2,419.28 = 572.82/x
  3. Step 3: Cross multiply
    1,612.84x = 2,419.28 × 572.82
  4. Step 4: Simplify right side
    1,612.84x = 1,385,811.97
  5. Step 5: Solve for x
    x = 1,385,811.97/1,612.84
  6. Step 6: Final answer
    x = 859.24

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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.