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Finding the Fourth Proportional to 2,242.83, 3,358.20 and 1,460.49

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Solution

The fourth proportional to 2,242.83, 3,358.20 and 1,460.49 is: 2,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.83 : 3,358.20 = 1,460.49 : x
  2. Step 2: Convert to fraction form
    2,242.83/3,358.20 = 1,460.49/x
  3. Step 3: Cross multiply
    2,242.83x = 3,358.20 × 1,460.49
  4. Step 4: Simplify right side
    2,242.83x = 4,904,617.52
  5. Step 5: Solve for x
    x = 4,904,617.52/2,242.83
  6. Step 6: Final answer
    x = 2,186.80

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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.