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Finding the Fourth Proportional to 3,663.63, 5,055.81 and 1,985.08

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Solution

The fourth proportional to 3,663.63, 5,055.81 and 1,985.08 is: 2,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.63 : 5,055.81 = 1,985.08 : x
  2. Step 2: Convert to fraction form
    3,663.63/5,055.81 = 1,985.08/x
  3. Step 3: Cross multiply
    3,663.63x = 5,055.81 × 1,985.08
  4. Step 4: Simplify right side
    3,663.63x = 10,036,177.39
  5. Step 5: Solve for x
    x = 10,036,177.39/3,663.63
  6. Step 6: Final answer
    x = 2,739.41

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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.