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Finding the Fourth Proportional to 3,007.51, 4,511.78 and 927.47

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Solution

The fourth proportional to 3,007.51, 4,511.78 and 927.47 is: 1,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.51 : 4,511.78 = 927.47 : x
  2. Step 2: Convert to fraction form
    3,007.51/4,511.78 = 927.47/x
  3. Step 3: Cross multiply
    3,007.51x = 4,511.78 × 927.47
  4. Step 4: Simplify right side
    3,007.51x = 4,184,547.24
  5. Step 5: Solve for x
    x = 4,184,547.24/3,007.51
  6. Step 6: Final answer
    x = 1,391.37

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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.