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Finding the Fourth Proportional to 3,224.63, 4,830.86 and 1,904.45

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Solution

The fourth proportional to 3,224.63, 4,830.86 and 1,904.45 is: 2,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.63 : 4,830.86 = 1,904.45 : x
  2. Step 2: Convert to fraction form
    3,224.63/4,830.86 = 1,904.45/x
  3. Step 3: Cross multiply
    3,224.63x = 4,830.86 × 1,904.45
  4. Step 4: Simplify right side
    3,224.63x = 9,200,111.93
  5. Step 5: Solve for x
    x = 9,200,111.93/3,224.63
  6. Step 6: Final answer
    x = 2,853.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.