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Finding the Fourth Proportional to 3,478.02, 4,798.26 and 1,985.64

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Solution

The fourth proportional to 3,478.02, 4,798.26 and 1,985.64 is: 2,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.02 : 4,798.26 = 1,985.64 : x
  2. Step 2: Convert to fraction form
    3,478.02/4,798.26 = 1,985.64/x
  3. Step 3: Cross multiply
    3,478.02x = 4,798.26 × 1,985.64
  4. Step 4: Simplify right side
    3,478.02x = 9,527,616.99
  5. Step 5: Solve for x
    x = 9,527,616.99/3,478.02
  6. Step 6: Final answer
    x = 2,739.38

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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.