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Finding the Fourth Proportional to 2,364.44, 3,263 and 1,420.80

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Solution

The fourth proportional to 2,364.44, 3,263 and 1,420.80 is: 1,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.44 : 3,263 = 1,420.80 : x
  2. Step 2: Convert to fraction form
    2,364.44/3,263 = 1,420.80/x
  3. Step 3: Cross multiply
    2,364.44x = 3,263 × 1,420.80
  4. Step 4: Simplify right side
    2,364.44x = 4,636,070.40
  5. Step 5: Solve for x
    x = 4,636,070.40/2,364.44
  6. Step 6: Final answer
    x = 1,960.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.