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Finding the Fourth Proportional to 2,783.42, 3,820.65 and 2,461.63

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Solution

The fourth proportional to 2,783.42, 3,820.65 and 2,461.63 is: 3,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.42 : 3,820.65 = 2,461.63 : x
  2. Step 2: Convert to fraction form
    2,783.42/3,820.65 = 2,461.63/x
  3. Step 3: Cross multiply
    2,783.42x = 3,820.65 × 2,461.63
  4. Step 4: Simplify right side
    2,783.42x = 9,405,026.66
  5. Step 5: Solve for x
    x = 9,405,026.66/2,783.42
  6. Step 6: Final answer
    x = 3,378.95

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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.