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Finding the Fourth Proportional to 2,650.72, 3,973.63 and 918.13

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Solution

The fourth proportional to 2,650.72, 3,973.63 and 918.13 is: 1,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.72 : 3,973.63 = 918.13 : x
  2. Step 2: Convert to fraction form
    2,650.72/3,973.63 = 918.13/x
  3. Step 3: Cross multiply
    2,650.72x = 3,973.63 × 918.13
  4. Step 4: Simplify right side
    2,650.72x = 3,648,308.91
  5. Step 5: Solve for x
    x = 3,648,308.91/2,650.72
  6. Step 6: Final answer
    x = 1,376.35

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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.