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Finding the Fourth Proportional to 4,098.08, 6,143.28 and 1,499

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Solution

The fourth proportional to 4,098.08, 6,143.28 and 1,499 is: 2,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.08 : 6,143.28 = 1,499 : x
  2. Step 2: Convert to fraction form
    4,098.08/6,143.28 = 1,499/x
  3. Step 3: Cross multiply
    4,098.08x = 6,143.28 × 1,499
  4. Step 4: Simplify right side
    4,098.08x = 9,208,776.72
  5. Step 5: Solve for x
    x = 9,208,776.72/4,098.08
  6. Step 6: Final answer
    x = 2,247.10

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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.