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Finding the Fourth Proportional to 1,225.86, 1,835.42 and 856.03

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Solution

The fourth proportional to 1,225.86, 1,835.42 and 856.03 is: 1,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.86 : 1,835.42 = 856.03 : x
  2. Step 2: Convert to fraction form
    1,225.86/1,835.42 = 856.03/x
  3. Step 3: Cross multiply
    1,225.86x = 1,835.42 × 856.03
  4. Step 4: Simplify right side
    1,225.86x = 1,571,180.85
  5. Step 5: Solve for x
    x = 1,571,180.85/1,225.86
  6. Step 6: Final answer
    x = 1,281.70

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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.