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Finding the Fourth Proportional to 1,856.41, 2,784.66 and 557.88

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Solution

The fourth proportional to 1,856.41, 2,784.66 and 557.88 is: 836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.41 : 2,784.66 = 557.88 : x
  2. Step 2: Convert to fraction form
    1,856.41/2,784.66 = 557.88/x
  3. Step 3: Cross multiply
    1,856.41x = 2,784.66 × 557.88
  4. Step 4: Simplify right side
    1,856.41x = 1,553,506.12
  5. Step 5: Solve for x
    x = 1,553,506.12/1,856.41
  6. Step 6: Final answer
    x = 836.83

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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.