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Finding the Fourth Proportional to 2,673.64, 4,011.06 and 942.28

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Solution

The fourth proportional to 2,673.64, 4,011.06 and 942.28 is: 1,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.64 : 4,011.06 = 942.28 : x
  2. Step 2: Convert to fraction form
    2,673.64/4,011.06 = 942.28/x
  3. Step 3: Cross multiply
    2,673.64x = 4,011.06 × 942.28
  4. Step 4: Simplify right side
    2,673.64x = 3,779,541.62
  5. Step 5: Solve for x
    x = 3,779,541.62/2,673.64
  6. Step 6: Final answer
    x = 1,413.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.