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Finding the Fourth Proportional to 2,290.16, 3,160.42 and 1,242.22

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Solution

The fourth proportional to 2,290.16, 3,160.42 and 1,242.22 is: 1,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.16 : 3,160.42 = 1,242.22 : x
  2. Step 2: Convert to fraction form
    2,290.16/3,160.42 = 1,242.22/x
  3. Step 3: Cross multiply
    2,290.16x = 3,160.42 × 1,242.22
  4. Step 4: Simplify right side
    2,290.16x = 3,925,936.93
  5. Step 5: Solve for x
    x = 3,925,936.93/2,290.16
  6. Step 6: Final answer
    x = 1,714.26

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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.