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Finding the Fourth Proportional to 2,705.42, 4,058.69 and 1,223.93

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Solution

The fourth proportional to 2,705.42, 4,058.69 and 1,223.93 is: 1,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.42 : 4,058.69 = 1,223.93 : x
  2. Step 2: Convert to fraction form
    2,705.42/4,058.69 = 1,223.93/x
  3. Step 3: Cross multiply
    2,705.42x = 4,058.69 × 1,223.93
  4. Step 4: Simplify right side
    2,705.42x = 4,967,556.48
  5. Step 5: Solve for x
    x = 4,967,556.48/2,705.42
  6. Step 6: Final answer
    x = 1,836.15

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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.