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Finding the Fourth Proportional to 1,853.62, 2,556.05 and 1,223.32

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Solution

The fourth proportional to 1,853.62, 2,556.05 and 1,223.32 is: 1,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.62 : 2,556.05 = 1,223.32 : x
  2. Step 2: Convert to fraction form
    1,853.62/2,556.05 = 1,223.32/x
  3. Step 3: Cross multiply
    1,853.62x = 2,556.05 × 1,223.32
  4. Step 4: Simplify right side
    1,853.62x = 3,126,848.19
  5. Step 5: Solve for x
    x = 3,126,848.19/1,853.62
  6. Step 6: Final answer
    x = 1,686.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.