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Finding the Fourth Proportional to 1,822.94, 2,734.88 and 524.51

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Solution

The fourth proportional to 1,822.94, 2,734.88 and 524.51 is: 786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.94 : 2,734.88 = 524.51 : x
  2. Step 2: Convert to fraction form
    1,822.94/2,734.88 = 524.51/x
  3. Step 3: Cross multiply
    1,822.94x = 2,734.88 × 524.51
  4. Step 4: Simplify right side
    1,822.94x = 1,434,455.61
  5. Step 5: Solve for x
    x = 1,434,455.61/1,822.94
  6. Step 6: Final answer
    x = 786.89

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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.