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Finding the Fourth Proportional to 1,685.08, 2,527.94 and 589.42

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Solution

The fourth proportional to 1,685.08, 2,527.94 and 589.42 is: 884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.08 : 2,527.94 = 589.42 : x
  2. Step 2: Convert to fraction form
    1,685.08/2,527.94 = 589.42/x
  3. Step 3: Cross multiply
    1,685.08x = 2,527.94 × 589.42
  4. Step 4: Simplify right side
    1,685.08x = 1,490,018.39
  5. Step 5: Solve for x
    x = 1,490,018.39/1,685.08
  6. Step 6: Final answer
    x = 884.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.