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Finding the Fourth Proportional to 1,824.75, 2,737.14 and 526.23

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Solution

The fourth proportional to 1,824.75, 2,737.14 and 526.23 is: 789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.75 : 2,737.14 = 526.23 : x
  2. Step 2: Convert to fraction form
    1,824.75/2,737.14 = 526.23/x
  3. Step 3: Cross multiply
    1,824.75x = 2,737.14 × 526.23
  4. Step 4: Simplify right side
    1,824.75x = 1,440,365.18
  5. Step 5: Solve for x
    x = 1,440,365.18/1,824.75
  6. Step 6: Final answer
    x = 789.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.