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Finding the Fourth Proportional to 3,072.04, 4,607.38 and 880.28

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Solution

The fourth proportional to 3,072.04, 4,607.38 and 880.28 is: 1,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.04 : 4,607.38 = 880.28 : x
  2. Step 2: Convert to fraction form
    3,072.04/4,607.38 = 880.28/x
  3. Step 3: Cross multiply
    3,072.04x = 4,607.38 × 880.28
  4. Step 4: Simplify right side
    3,072.04x = 4,055,784.47
  5. Step 5: Solve for x
    x = 4,055,784.47/3,072.04
  6. Step 6: Final answer
    x = 1,320.23

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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.