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Finding the Fourth Proportional to 3,002.28, 4,497.02 and 1,703.08

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Solution

The fourth proportional to 3,002.28, 4,497.02 and 1,703.08 is: 2,550.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.28 : 4,497.02 = 1,703.08 : x
  2. Step 2: Convert to fraction form
    3,002.28/4,497.02 = 1,703.08/x
  3. Step 3: Cross multiply
    3,002.28x = 4,497.02 × 1,703.08
  4. Step 4: Simplify right side
    3,002.28x = 7,658,784.82
  5. Step 5: Solve for x
    x = 7,658,784.82/3,002.28
  6. Step 6: Final answer
    x = 2,550.99

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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.