Home / 2,904.08-4,007.63-1,577.78

Finding the Fourth Proportional to 2,904.08, 4,007.63 and 1,577.78

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Solution

The fourth proportional to 2,904.08, 4,007.63 and 1,577.78 is: 2,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.08 : 4,007.63 = 1,577.78 : x
  2. Step 2: Convert to fraction form
    2,904.08/4,007.63 = 1,577.78/x
  3. Step 3: Cross multiply
    2,904.08x = 4,007.63 × 1,577.78
  4. Step 4: Simplify right side
    2,904.08x = 6,323,164.17
  5. Step 5: Solve for x
    x = 6,323,164.17/2,904.08
  6. Step 6: Final answer
    x = 2,177.34

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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.