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Finding the Fourth Proportional to 2,725.83, 4,090.13 and 1,266.02

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Solution

The fourth proportional to 2,725.83, 4,090.13 and 1,266.02 is: 1,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.83 : 4,090.13 = 1,266.02 : x
  2. Step 2: Convert to fraction form
    2,725.83/4,090.13 = 1,266.02/x
  3. Step 3: Cross multiply
    2,725.83x = 4,090.13 × 1,266.02
  4. Step 4: Simplify right side
    2,725.83x = 5,178,159.60
  5. Step 5: Solve for x
    x = 5,178,159.60/2,725.83
  6. Step 6: Final answer
    x = 1,899.66

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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.