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Finding the Fourth Proportional to 2,521.64, 3,783.18 and 983.72

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Solution

The fourth proportional to 2,521.64, 3,783.18 and 983.72 is: 1,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.64 : 3,783.18 = 983.72 : x
  2. Step 2: Convert to fraction form
    2,521.64/3,783.18 = 983.72/x
  3. Step 3: Cross multiply
    2,521.64x = 3,783.18 × 983.72
  4. Step 4: Simplify right side
    2,521.64x = 3,721,589.83
  5. Step 5: Solve for x
    x = 3,721,589.83/2,521.64
  6. Step 6: Final answer
    x = 1,475.86

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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.