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Finding the Fourth Proportional to 3,009.48, 4,510.95 and 1,033.28

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Solution

The fourth proportional to 3,009.48, 4,510.95 and 1,033.28 is: 1,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.48 : 4,510.95 = 1,033.28 : x
  2. Step 2: Convert to fraction form
    3,009.48/4,510.95 = 1,033.28/x
  3. Step 3: Cross multiply
    3,009.48x = 4,510.95 × 1,033.28
  4. Step 4: Simplify right side
    3,009.48x = 4,661,051.86
  5. Step 5: Solve for x
    x = 4,661,051.86/3,009.48
  6. Step 6: Final answer
    x = 1,548.79

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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.