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Finding the Fourth Proportional to 3,007.48, 4,509.60 and 1,159.06

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Solution

The fourth proportional to 3,007.48, 4,509.60 and 1,159.06 is: 1,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.48 : 4,509.60 = 1,159.06 : x
  2. Step 2: Convert to fraction form
    3,007.48/4,509.60 = 1,159.06/x
  3. Step 3: Cross multiply
    3,007.48x = 4,509.60 × 1,159.06
  4. Step 4: Simplify right side
    3,007.48x = 5,226,896.98
  5. Step 5: Solve for x
    x = 5,226,896.98/3,007.48
  6. Step 6: Final answer
    x = 1,737.97

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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.