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Finding the Fourth Proportional to 1,364.92, 1,870.46 and 1,233.70

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Solution

The fourth proportional to 1,364.92, 1,870.46 and 1,233.70 is: 1,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.92 : 1,870.46 = 1,233.70 : x
  2. Step 2: Convert to fraction form
    1,364.92/1,870.46 = 1,233.70/x
  3. Step 3: Cross multiply
    1,364.92x = 1,870.46 × 1,233.70
  4. Step 4: Simplify right side
    1,364.92x = 2,307,586.50
  5. Step 5: Solve for x
    x = 2,307,586.50/1,364.92
  6. Step 6: Final answer
    x = 1,690.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.