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Finding the Fourth Proportional to 2,476.38, 3,709.28 and 1,859.16

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Solution

The fourth proportional to 2,476.38, 3,709.28 and 1,859.16 is: 2,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.38 : 3,709.28 = 1,859.16 : x
  2. Step 2: Convert to fraction form
    2,476.38/3,709.28 = 1,859.16/x
  3. Step 3: Cross multiply
    2,476.38x = 3,709.28 × 1,859.16
  4. Step 4: Simplify right side
    2,476.38x = 6,896,145.00
  5. Step 5: Solve for x
    x = 6,896,145.00/2,476.38
  6. Step 6: Final answer
    x = 2,784.77

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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.