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Finding the Fourth Proportional to 1,771.42, 2,667.43 and 1,312.46

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Solution

The fourth proportional to 1,771.42, 2,667.43 and 1,312.46 is: 1,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.42 : 2,667.43 = 1,312.46 : x
  2. Step 2: Convert to fraction form
    1,771.42/2,667.43 = 1,312.46/x
  3. Step 3: Cross multiply
    1,771.42x = 2,667.43 × 1,312.46
  4. Step 4: Simplify right side
    1,771.42x = 3,500,895.18
  5. Step 5: Solve for x
    x = 3,500,895.18/1,771.42
  6. Step 6: Final answer
    x = 1,976.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.