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Finding the Fourth Proportional to 2,978.62, 4,467.96 and 2,053.93

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Solution

The fourth proportional to 2,978.62, 4,467.96 and 2,053.93 is: 3,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.62 : 4,467.96 = 2,053.93 : x
  2. Step 2: Convert to fraction form
    2,978.62/4,467.96 = 2,053.93/x
  3. Step 3: Cross multiply
    2,978.62x = 4,467.96 × 2,053.93
  4. Step 4: Simplify right side
    2,978.62x = 9,176,886.86
  5. Step 5: Solve for x
    x = 9,176,886.86/2,978.62
  6. Step 6: Final answer
    x = 3,080.92

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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.