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Finding the Fourth Proportional to 1,825.21, 2,737.86 and 526.78

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Solution

The fourth proportional to 1,825.21, 2,737.86 and 526.78 is: 790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.21 : 2,737.86 = 526.78 : x
  2. Step 2: Convert to fraction form
    1,825.21/2,737.86 = 526.78/x
  3. Step 3: Cross multiply
    1,825.21x = 2,737.86 × 526.78
  4. Step 4: Simplify right side
    1,825.21x = 1,442,249.89
  5. Step 5: Solve for x
    x = 1,442,249.89/1,825.21
  6. Step 6: Final answer
    x = 790.18

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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.