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Finding the Fourth Proportional to 1,856.05, 2,784.09 and 557.44

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Solution

The fourth proportional to 1,856.05, 2,784.09 and 557.44 is: 836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.05 : 2,784.09 = 557.44 : x
  2. Step 2: Convert to fraction form
    1,856.05/2,784.09 = 557.44/x
  3. Step 3: Cross multiply
    1,856.05x = 2,784.09 × 557.44
  4. Step 4: Simplify right side
    1,856.05x = 1,551,963.13
  5. Step 5: Solve for x
    x = 1,551,963.13/1,856.05
  6. Step 6: Final answer
    x = 836.16

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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.