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Finding the Fourth Proportional to 3,476.86, 4,798.41 and 1,985

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Solution

The fourth proportional to 3,476.86, 4,798.41 and 1,985 is: 2,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.86 : 4,798.41 = 1,985 : x
  2. Step 2: Convert to fraction form
    3,476.86/4,798.41 = 1,985/x
  3. Step 3: Cross multiply
    3,476.86x = 4,798.41 × 1,985
  4. Step 4: Simplify right side
    3,476.86x = 9,524,843.85
  5. Step 5: Solve for x
    x = 9,524,843.85/3,476.86
  6. Step 6: Final answer
    x = 2,739.50

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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.