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Finding the Fourth Proportional to 2,369.76, 3,552.72 and 1,537.68

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Solution

The fourth proportional to 2,369.76, 3,552.72 and 1,537.68 is: 2,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.76 : 3,552.72 = 1,537.68 : x
  2. Step 2: Convert to fraction form
    2,369.76/3,552.72 = 1,537.68/x
  3. Step 3: Cross multiply
    2,369.76x = 3,552.72 × 1,537.68
  4. Step 4: Simplify right side
    2,369.76x = 5,462,946.49
  5. Step 5: Solve for x
    x = 5,462,946.49/2,369.76
  6. Step 6: Final answer
    x = 2,305.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.