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Finding the Fourth Proportional to 1,243.60, 1,861.34 and 914.45

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Solution

The fourth proportional to 1,243.60, 1,861.34 and 914.45 is: 1,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.60 : 1,861.34 = 914.45 : x
  2. Step 2: Convert to fraction form
    1,243.60/1,861.34 = 914.45/x
  3. Step 3: Cross multiply
    1,243.60x = 1,861.34 × 914.45
  4. Step 4: Simplify right side
    1,243.60x = 1,702,098.89
  5. Step 5: Solve for x
    x = 1,702,098.89/1,243.60
  6. Step 6: Final answer
    x = 1,368.69

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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.