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Finding the Fourth Proportional to 1,556.34, 2,336.35 and 1,549.30

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Solution

The fourth proportional to 1,556.34, 2,336.35 and 1,549.30 is: 2,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.34 : 2,336.35 = 1,549.30 : x
  2. Step 2: Convert to fraction form
    1,556.34/2,336.35 = 1,549.30/x
  3. Step 3: Cross multiply
    1,556.34x = 2,336.35 × 1,549.30
  4. Step 4: Simplify right side
    1,556.34x = 3,619,707.06
  5. Step 5: Solve for x
    x = 3,619,707.06/1,556.34
  6. Step 6: Final answer
    x = 2,325.78

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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.