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Finding the Fourth Proportional to 1,861.49, 2,567.13 and 1,440.48

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Solution

The fourth proportional to 1,861.49, 2,567.13 and 1,440.48 is: 1,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.49 : 2,567.13 = 1,440.48 : x
  2. Step 2: Convert to fraction form
    1,861.49/2,567.13 = 1,440.48/x
  3. Step 3: Cross multiply
    1,861.49x = 2,567.13 × 1,440.48
  4. Step 4: Simplify right side
    1,861.49x = 3,697,899.42
  5. Step 5: Solve for x
    x = 3,697,899.42/1,861.49
  6. Step 6: Final answer
    x = 1,986.53

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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.