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Finding the Fourth Proportional to 3,369.76, 4,649.73 and 1,877.64

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Solution

The fourth proportional to 3,369.76, 4,649.73 and 1,877.64 is: 2,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.76 : 4,649.73 = 1,877.64 : x
  2. Step 2: Convert to fraction form
    3,369.76/4,649.73 = 1,877.64/x
  3. Step 3: Cross multiply
    3,369.76x = 4,649.73 × 1,877.64
  4. Step 4: Simplify right side
    3,369.76x = 8,730,519.04
  5. Step 5: Solve for x
    x = 8,730,519.04/3,369.76
  6. Step 6: Final answer
    x = 2,590.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.