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Finding the Fourth Proportional to 1,823.86, 2,736.24 and 525.32

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Solution

The fourth proportional to 1,823.86, 2,736.24 and 525.32 is: 788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.86 : 2,736.24 = 525.32 : x
  2. Step 2: Convert to fraction form
    1,823.86/2,736.24 = 525.32/x
  3. Step 3: Cross multiply
    1,823.86x = 2,736.24 × 525.32
  4. Step 4: Simplify right side
    1,823.86x = 1,437,401.60
  5. Step 5: Solve for x
    x = 1,437,401.60/1,823.86
  6. Step 6: Final answer
    x = 788.11

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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.