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Finding the Fourth Proportional to 2,037.42, 3,055.62 and 576.72

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Solution

The fourth proportional to 2,037.42, 3,055.62 and 576.72 is: 864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.42 : 3,055.62 = 576.72 : x
  2. Step 2: Convert to fraction form
    2,037.42/3,055.62 = 576.72/x
  3. Step 3: Cross multiply
    2,037.42x = 3,055.62 × 576.72
  4. Step 4: Simplify right side
    2,037.42x = 1,762,237.17
  5. Step 5: Solve for x
    x = 1,762,237.17/2,037.42
  6. Step 6: Final answer
    x = 864.94

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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.