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Finding the Fourth Proportional to 1,871.68, 2,582.40 and 1,208.56

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Solution

The fourth proportional to 1,871.68, 2,582.40 and 1,208.56 is: 1,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.68 : 2,582.40 = 1,208.56 : x
  2. Step 2: Convert to fraction form
    1,871.68/2,582.40 = 1,208.56/x
  3. Step 3: Cross multiply
    1,871.68x = 2,582.40 × 1,208.56
  4. Step 4: Simplify right side
    1,871.68x = 3,120,985.34
  5. Step 5: Solve for x
    x = 3,120,985.34/1,871.68
  6. Step 6: Final answer
    x = 1,667.48

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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.