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Finding the Fourth Proportional to 2,308.95, 3,186.29 and 1,261.01

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Solution

The fourth proportional to 2,308.95, 3,186.29 and 1,261.01 is: 1,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.95 : 3,186.29 = 1,261.01 : x
  2. Step 2: Convert to fraction form
    2,308.95/3,186.29 = 1,261.01/x
  3. Step 3: Cross multiply
    2,308.95x = 3,186.29 × 1,261.01
  4. Step 4: Simplify right side
    2,308.95x = 4,017,937.25
  5. Step 5: Solve for x
    x = 4,017,937.25/2,308.95
  6. Step 6: Final answer
    x = 1,740.16

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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.