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Finding the Fourth Proportional to 3,098.16, 4,650.30 and 2,003.40

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Solution

The fourth proportional to 3,098.16, 4,650.30 and 2,003.40 is: 3,007.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.16 : 4,650.30 = 2,003.40 : x
  2. Step 2: Convert to fraction form
    3,098.16/4,650.30 = 2,003.40/x
  3. Step 3: Cross multiply
    3,098.16x = 4,650.30 × 2,003.40
  4. Step 4: Simplify right side
    3,098.16x = 9,316,411.02
  5. Step 5: Solve for x
    x = 9,316,411.02/3,098.16
  6. Step 6: Final answer
    x = 3,007.08

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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.