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Finding the Fourth Proportional to 2,953.20, 4,074.68 and 1,904

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Solution

The fourth proportional to 2,953.20, 4,074.68 and 1,904 is: 2,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.20 : 4,074.68 = 1,904 : x
  2. Step 2: Convert to fraction form
    2,953.20/4,074.68 = 1,904/x
  3. Step 3: Cross multiply
    2,953.20x = 4,074.68 × 1,904
  4. Step 4: Simplify right side
    2,953.20x = 7,758,190.72
  5. Step 5: Solve for x
    x = 7,758,190.72/2,953.20
  6. Step 6: Final answer
    x = 2,627.05

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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.