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Finding the Fourth Proportional to 1,859.54, 2,789.40 and 472.89

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Solution

The fourth proportional to 1,859.54, 2,789.40 and 472.89 is: 709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.54 : 2,789.40 = 472.89 : x
  2. Step 2: Convert to fraction form
    1,859.54/2,789.40 = 472.89/x
  3. Step 3: Cross multiply
    1,859.54x = 2,789.40 × 472.89
  4. Step 4: Simplify right side
    1,859.54x = 1,319,064.24
  5. Step 5: Solve for x
    x = 1,319,064.24/1,859.54
  6. Step 6: Final answer
    x = 709.35

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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.