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Finding the Fourth Proportional to 2,784.42, 4,176.17 and 836.28

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Solution

The fourth proportional to 2,784.42, 4,176.17 and 836.28 is: 1,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.42 : 4,176.17 = 836.28 : x
  2. Step 2: Convert to fraction form
    2,784.42/4,176.17 = 836.28/x
  3. Step 3: Cross multiply
    2,784.42x = 4,176.17 × 836.28
  4. Step 4: Simplify right side
    2,784.42x = 3,492,426.57
  5. Step 5: Solve for x
    x = 3,492,426.57/2,784.42
  6. Step 6: Final answer
    x = 1,254.28

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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.