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Finding the Fourth Proportional to 1,880.64, 2,807.04 and 1,796.32

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Solution

The fourth proportional to 1,880.64, 2,807.04 and 1,796.32 is: 2,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.64 : 2,807.04 = 1,796.32 : x
  2. Step 2: Convert to fraction form
    1,880.64/2,807.04 = 1,796.32/x
  3. Step 3: Cross multiply
    1,880.64x = 2,807.04 × 1,796.32
  4. Step 4: Simplify right side
    1,880.64x = 5,042,342.09
  5. Step 5: Solve for x
    x = 5,042,342.09/1,880.64
  6. Step 6: Final answer
    x = 2,681.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.