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Finding the Fourth Proportional to 1,828.01, 2,742.08 and 529.58

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Solution

The fourth proportional to 1,828.01, 2,742.08 and 529.58 is: 794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.01 : 2,742.08 = 529.58 : x
  2. Step 2: Convert to fraction form
    1,828.01/2,742.08 = 529.58/x
  3. Step 3: Cross multiply
    1,828.01x = 2,742.08 × 529.58
  4. Step 4: Simplify right side
    1,828.01x = 1,452,134.37
  5. Step 5: Solve for x
    x = 1,452,134.37/1,828.01
  6. Step 6: Final answer
    x = 794.38

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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.