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Finding the Fourth Proportional to 3,774.59, 5,661.70 and 1,798.78

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Solution

The fourth proportional to 3,774.59, 5,661.70 and 1,798.78 is: 2,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.59 : 5,661.70 = 1,798.78 : x
  2. Step 2: Convert to fraction form
    3,774.59/5,661.70 = 1,798.78/x
  3. Step 3: Cross multiply
    3,774.59x = 5,661.70 × 1,798.78
  4. Step 4: Simplify right side
    3,774.59x = 10,184,115.42
  5. Step 5: Solve for x
    x = 10,184,115.42/3,774.59
  6. Step 6: Final answer
    x = 2,698.08

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1.5x scale

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.