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Finding the Fourth Proportional to 2,903.93, 4,007.42 and 1,577.65

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Solution

The fourth proportional to 2,903.93, 4,007.42 and 1,577.65 is: 2,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.93 : 4,007.42 = 1,577.65 : x
  2. Step 2: Convert to fraction form
    2,903.93/4,007.42 = 1,577.65/x
  3. Step 3: Cross multiply
    2,903.93x = 4,007.42 × 1,577.65
  4. Step 4: Simplify right side
    2,903.93x = 6,322,321.83
  5. Step 5: Solve for x
    x = 6,322,321.83/2,903.93
  6. Step 6: Final answer
    x = 2,177.16

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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.