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Finding the Fourth Proportional to 4,097.46, 6,145.11 and 1,174.98

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Solution

The fourth proportional to 4,097.46, 6,145.11 and 1,174.98 is: 1,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.46 : 6,145.11 = 1,174.98 : x
  2. Step 2: Convert to fraction form
    4,097.46/6,145.11 = 1,174.98/x
  3. Step 3: Cross multiply
    4,097.46x = 6,145.11 × 1,174.98
  4. Step 4: Simplify right side
    4,097.46x = 7,220,381.35
  5. Step 5: Solve for x
    x = 7,220,381.35/4,097.46
  6. Step 6: Final answer
    x = 1,762.16

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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.