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Finding the Fourth Proportional to 2,537.04, 3,801.88 and 1,237.04

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Solution

The fourth proportional to 2,537.04, 3,801.88 and 1,237.04 is: 1,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.04 : 3,801.88 = 1,237.04 : x
  2. Step 2: Convert to fraction form
    2,537.04/3,801.88 = 1,237.04/x
  3. Step 3: Cross multiply
    2,537.04x = 3,801.88 × 1,237.04
  4. Step 4: Simplify right side
    2,537.04x = 4,703,077.64
  5. Step 5: Solve for x
    x = 4,703,077.64/2,537.04
  6. Step 6: Final answer
    x = 1,853.77

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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.