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Finding the Fourth Proportional to 1,856.25, 2,784.38 and 557.69

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Solution

The fourth proportional to 1,856.25, 2,784.38 and 557.69 is: 836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.25 : 2,784.38 = 557.69 : x
  2. Step 2: Convert to fraction form
    1,856.25/2,784.38 = 557.69/x
  3. Step 3: Cross multiply
    1,856.25x = 2,784.38 × 557.69
  4. Step 4: Simplify right side
    1,856.25x = 1,552,804.17
  5. Step 5: Solve for x
    x = 1,552,804.17/1,856.25
  6. Step 6: Final answer
    x = 836.53

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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.