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Finding the Fourth Proportional to 2,928.68, 4,041.42 and 1,686.68

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Solution

The fourth proportional to 2,928.68, 4,041.42 and 1,686.68 is: 2,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.68 : 4,041.42 = 1,686.68 : x
  2. Step 2: Convert to fraction form
    2,928.68/4,041.42 = 1,686.68/x
  3. Step 3: Cross multiply
    2,928.68x = 4,041.42 × 1,686.68
  4. Step 4: Simplify right side
    2,928.68x = 6,816,582.29
  5. Step 5: Solve for x
    x = 6,816,582.29/2,928.68
  6. Step 6: Final answer
    x = 2,327.53

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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.