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Finding the Fourth Proportional to 2,290.42, 3,160.74 and 1,242.46

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Solution

The fourth proportional to 2,290.42, 3,160.74 and 1,242.46 is: 1,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.42 : 3,160.74 = 1,242.46 : x
  2. Step 2: Convert to fraction form
    2,290.42/3,160.74 = 1,242.46/x
  3. Step 3: Cross multiply
    2,290.42x = 3,160.74 × 1,242.46
  4. Step 4: Simplify right side
    2,290.42x = 3,927,093.02
  5. Step 5: Solve for x
    x = 3,927,093.02/2,290.42
  6. Step 6: Final answer
    x = 1,714.57

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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.