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Finding the Fourth Proportional to 2,364.85, 3,262.54 and 1,420.69

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Solution

The fourth proportional to 2,364.85, 3,262.54 and 1,420.69 is: 1,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.85 : 3,262.54 = 1,420.69 : x
  2. Step 2: Convert to fraction form
    2,364.85/3,262.54 = 1,420.69/x
  3. Step 3: Cross multiply
    2,364.85x = 3,262.54 × 1,420.69
  4. Step 4: Simplify right side
    2,364.85x = 4,635,057.95
  5. Step 5: Solve for x
    x = 4,635,057.95/2,364.85
  6. Step 6: Final answer
    x = 1,959.98

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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.