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Finding the Fourth Proportional to 1,856.28, 2,784.40 and 557.74

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Solution

The fourth proportional to 1,856.28, 2,784.40 and 557.74 is: 836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.28 : 2,784.40 = 557.74 : x
  2. Step 2: Convert to fraction form
    1,856.28/2,784.40 = 557.74/x
  3. Step 3: Cross multiply
    1,856.28x = 2,784.40 × 557.74
  4. Step 4: Simplify right side
    1,856.28x = 1,552,971.26
  5. Step 5: Solve for x
    x = 1,552,971.26/1,856.28
  6. Step 6: Final answer
    x = 836.60

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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.