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Finding the Fourth Proportional to 1,828.03, 2,742.47 and 529.46

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Solution

The fourth proportional to 1,828.03, 2,742.47 and 529.46 is: 794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.03 : 2,742.47 = 529.46 : x
  2. Step 2: Convert to fraction form
    1,828.03/2,742.47 = 529.46/x
  3. Step 3: Cross multiply
    1,828.03x = 2,742.47 × 529.46
  4. Step 4: Simplify right side
    1,828.03x = 1,452,028.17
  5. Step 5: Solve for x
    x = 1,452,028.17/1,828.03
  6. Step 6: Final answer
    x = 794.31

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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.