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Finding the Fourth Proportional to 1,685.16, 2,528.88 and 589.54

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Solution

The fourth proportional to 1,685.16, 2,528.88 and 589.54 is: 884.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.16 : 2,528.88 = 589.54 : x
  2. Step 2: Convert to fraction form
    1,685.16/2,528.88 = 589.54/x
  3. Step 3: Cross multiply
    1,685.16x = 2,528.88 × 589.54
  4. Step 4: Simplify right side
    1,685.16x = 1,490,869.16
  5. Step 5: Solve for x
    x = 1,490,869.16/1,685.16
  6. Step 6: Final answer
    x = 884.70

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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.