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Finding the Fourth Proportional to 2,758.32, 3,807.48 and 1,827.12

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Solution

The fourth proportional to 2,758.32, 3,807.48 and 1,827.12 is: 2,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.32 : 3,807.48 = 1,827.12 : x
  2. Step 2: Convert to fraction form
    2,758.32/3,807.48 = 1,827.12/x
  3. Step 3: Cross multiply
    2,758.32x = 3,807.48 × 1,827.12
  4. Step 4: Simplify right side
    2,758.32x = 6,956,722.86
  5. Step 5: Solve for x
    x = 6,956,722.86/2,758.32
  6. Step 6: Final answer
    x = 2,522.09

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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.