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Finding the Fourth Proportional to 1,861.66, 2,567.91 and 1,143.53

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Solution

The fourth proportional to 1,861.66, 2,567.91 and 1,143.53 is: 1,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.66 : 2,567.91 = 1,143.53 : x
  2. Step 2: Convert to fraction form
    1,861.66/2,567.91 = 1,143.53/x
  3. Step 3: Cross multiply
    1,861.66x = 2,567.91 × 1,143.53
  4. Step 4: Simplify right side
    1,861.66x = 2,936,482.12
  5. Step 5: Solve for x
    x = 2,936,482.12/1,861.66
  6. Step 6: Final answer
    x = 1,577.35

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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.