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Finding the Fourth Proportional to 1,823.94, 2,736.38 and 525.51

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Solution

The fourth proportional to 1,823.94, 2,736.38 and 525.51 is: 788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.94 : 2,736.38 = 525.51 : x
  2. Step 2: Convert to fraction form
    1,823.94/2,736.38 = 525.51/x
  3. Step 3: Cross multiply
    1,823.94x = 2,736.38 × 525.51
  4. Step 4: Simplify right side
    1,823.94x = 1,437,995.05
  5. Step 5: Solve for x
    x = 1,437,995.05/1,823.94
  6. Step 6: Final answer
    x = 788.40

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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.