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Finding the Fourth Proportional to 1,651.36, 2,473.85 and 918.72

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Solution

The fourth proportional to 1,651.36, 2,473.85 and 918.72 is: 1,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.36 : 2,473.85 = 918.72 : x
  2. Step 2: Convert to fraction form
    1,651.36/2,473.85 = 918.72/x
  3. Step 3: Cross multiply
    1,651.36x = 2,473.85 × 918.72
  4. Step 4: Simplify right side
    1,651.36x = 2,272,775.47
  5. Step 5: Solve for x
    x = 2,272,775.47/1,651.36
  6. Step 6: Final answer
    x = 1,376.31

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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.