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Finding the Fourth Proportional to 2,573.16, 3,860.70 and 1,187.16

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Solution

The fourth proportional to 2,573.16, 3,860.70 and 1,187.16 is: 1,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.16 : 3,860.70 = 1,187.16 : x
  2. Step 2: Convert to fraction form
    2,573.16/3,860.70 = 1,187.16/x
  3. Step 3: Cross multiply
    2,573.16x = 3,860.70 × 1,187.16
  4. Step 4: Simplify right side
    2,573.16x = 4,583,268.61
  5. Step 5: Solve for x
    x = 4,583,268.61/2,573.16
  6. Step 6: Final answer
    x = 1,781.18

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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.