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Finding the Fourth Proportional to 1,822.58, 2,734.02 and 524.06

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Solution

The fourth proportional to 1,822.58, 2,734.02 and 524.06 is: 786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.58 : 2,734.02 = 524.06 : x
  2. Step 2: Convert to fraction form
    1,822.58/2,734.02 = 524.06/x
  3. Step 3: Cross multiply
    1,822.58x = 2,734.02 × 524.06
  4. Step 4: Simplify right side
    1,822.58x = 1,432,790.52
  5. Step 5: Solve for x
    x = 1,432,790.52/1,822.58
  6. Step 6: Final answer
    x = 786.13

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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.