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Finding the Fourth Proportional to 2,738.64, 4,108.50 and 790.86

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Solution

The fourth proportional to 2,738.64, 4,108.50 and 790.86 is: 1,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.64 : 4,108.50 = 790.86 : x
  2. Step 2: Convert to fraction form
    2,738.64/4,108.50 = 790.86/x
  3. Step 3: Cross multiply
    2,738.64x = 4,108.50 × 790.86
  4. Step 4: Simplify right side
    2,738.64x = 3,249,248.31
  5. Step 5: Solve for x
    x = 3,249,248.31/2,738.64
  6. Step 6: Final answer
    x = 1,186.45

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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.