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Finding the Fourth Proportional to 2,417.54, 3,623.74 and 1,537.27

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Solution

The fourth proportional to 2,417.54, 3,623.74 and 1,537.27 is: 2,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.54 : 3,623.74 = 1,537.27 : x
  2. Step 2: Convert to fraction form
    2,417.54/3,623.74 = 1,537.27/x
  3. Step 3: Cross multiply
    2,417.54x = 3,623.74 × 1,537.27
  4. Step 4: Simplify right side
    2,417.54x = 5,570,682.92
  5. Step 5: Solve for x
    x = 5,570,682.92/2,417.54
  6. Step 6: Final answer
    x = 2,304.28

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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.