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Finding the Fourth Proportional to 2,904.12, 4,007.71 and 1,577.84

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Solution

The fourth proportional to 2,904.12, 4,007.71 and 1,577.84 is: 2,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.12 : 4,007.71 = 1,577.84 : x
  2. Step 2: Convert to fraction form
    2,904.12/4,007.71 = 1,577.84/x
  3. Step 3: Cross multiply
    2,904.12x = 4,007.71 × 1,577.84
  4. Step 4: Simplify right side
    2,904.12x = 6,323,505.11
  5. Step 5: Solve for x
    x = 6,323,505.11/2,904.12
  6. Step 6: Final answer
    x = 2,177.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.