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Finding the Fourth Proportional to 2,904.17, 4,007.74 and 1,577.86

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Solution

The fourth proportional to 2,904.17, 4,007.74 and 1,577.86 is: 2,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.17 : 4,007.74 = 1,577.86 : x
  2. Step 2: Convert to fraction form
    2,904.17/4,007.74 = 1,577.86/x
  3. Step 3: Cross multiply
    2,904.17x = 4,007.74 × 1,577.86
  4. Step 4: Simplify right side
    2,904.17x = 6,323,652.64
  5. Step 5: Solve for x
    x = 6,323,652.64/2,904.17
  6. Step 6: Final answer
    x = 2,177.44

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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.