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Finding the Fourth Proportional to 2,037.50, 3,056.25 and 576.65

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Solution

The fourth proportional to 2,037.50, 3,056.25 and 576.65 is: 864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.50 : 3,056.25 = 576.65 : x
  2. Step 2: Convert to fraction form
    2,037.50/3,056.25 = 576.65/x
  3. Step 3: Cross multiply
    2,037.50x = 3,056.25 × 576.65
  4. Step 4: Simplify right side
    2,037.50x = 1,762,386.07
  5. Step 5: Solve for x
    x = 1,762,386.07/2,037.50
  6. Step 6: Final answer
    x = 864.98

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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.