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Finding the Fourth Proportional to 3,011.32, 4,517 and 1,064.92

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Solution

The fourth proportional to 3,011.32, 4,517 and 1,064.92 is: 1,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.32 : 4,517 = 1,064.92 : x
  2. Step 2: Convert to fraction form
    3,011.32/4,517 = 1,064.92/x
  3. Step 3: Cross multiply
    3,011.32x = 4,517 × 1,064.92
  4. Step 4: Simplify right side
    3,011.32x = 4,810,243.64
  5. Step 5: Solve for x
    x = 4,810,243.64/3,011.32
  6. Step 6: Final answer
    x = 1,597.39

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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.