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Finding the Fourth Proportional to 2,237.47, 3,341.14 and 1,827.42

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Solution

The fourth proportional to 2,237.47, 3,341.14 and 1,827.42 is: 2,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.47 : 3,341.14 = 1,827.42 : x
  2. Step 2: Convert to fraction form
    2,237.47/3,341.14 = 1,827.42/x
  3. Step 3: Cross multiply
    2,237.47x = 3,341.14 × 1,827.42
  4. Step 4: Simplify right side
    2,237.47x = 6,105,666.06
  5. Step 5: Solve for x
    x = 6,105,666.06/2,237.47
  6. Step 6: Final answer
    x = 2,728.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.