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Finding the Fourth Proportional to 2,992.64, 4,127.68 and 1,872.32

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Solution

The fourth proportional to 2,992.64, 4,127.68 and 1,872.32 is: 2,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.64 : 4,127.68 = 1,872.32 : x
  2. Step 2: Convert to fraction form
    2,992.64/4,127.68 = 1,872.32/x
  3. Step 3: Cross multiply
    2,992.64x = 4,127.68 × 1,872.32
  4. Step 4: Simplify right side
    2,992.64x = 7,728,337.82
  5. Step 5: Solve for x
    x = 7,728,337.82/2,992.64
  6. Step 6: Final answer
    x = 2,582.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.