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Finding the Fourth Proportional to 3,032.64, 4,185.76 and 1,928

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Solution

The fourth proportional to 3,032.64, 4,185.76 and 1,928 is: 2,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.64 : 4,185.76 = 1,928 : x
  2. Step 2: Convert to fraction form
    3,032.64/4,185.76 = 1,928/x
  3. Step 3: Cross multiply
    3,032.64x = 4,185.76 × 1,928
  4. Step 4: Simplify right side
    3,032.64x = 8,070,145.28
  5. Step 5: Solve for x
    x = 8,070,145.28/3,032.64
  6. Step 6: Final answer
    x = 2,661.10

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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.