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Finding the Fourth Proportional to 1,812.42, 2,718.08 and 579.78

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Solution

The fourth proportional to 1,812.42, 2,718.08 and 579.78 is: 869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.42 : 2,718.08 = 579.78 : x
  2. Step 2: Convert to fraction form
    1,812.42/2,718.08 = 579.78/x
  3. Step 3: Cross multiply
    1,812.42x = 2,718.08 × 579.78
  4. Step 4: Simplify right side
    1,812.42x = 1,575,888.42
  5. Step 5: Solve for x
    x = 1,575,888.42/1,812.42
  6. Step 6: Final answer
    x = 869.49

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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.