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Finding the Fourth Proportional to 1,871.15, 2,582.78 and 1,207.98

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Solution

The fourth proportional to 1,871.15, 2,582.78 and 1,207.98 is: 1,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.15 : 2,582.78 = 1,207.98 : x
  2. Step 2: Convert to fraction form
    1,871.15/2,582.78 = 1,207.98/x
  3. Step 3: Cross multiply
    1,871.15x = 2,582.78 × 1,207.98
  4. Step 4: Simplify right side
    1,871.15x = 3,119,940.54
  5. Step 5: Solve for x
    x = 3,119,940.54/1,871.15
  6. Step 6: Final answer
    x = 1,667.40

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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.