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Finding the Fourth Proportional to 2,531.12, 3,796.74 and 1,070.01

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Solution

The fourth proportional to 2,531.12, 3,796.74 and 1,070.01 is: 1,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.12 : 3,796.74 = 1,070.01 : x
  2. Step 2: Convert to fraction form
    2,531.12/3,796.74 = 1,070.01/x
  3. Step 3: Cross multiply
    2,531.12x = 3,796.74 × 1,070.01
  4. Step 4: Simplify right side
    2,531.12x = 4,062,549.77
  5. Step 5: Solve for x
    x = 4,062,549.77/2,531.12
  6. Step 6: Final answer
    x = 1,605.04

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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.