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Finding the Fourth Proportional to 1,856.30, 2,784.62 and 589.77

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Solution

The fourth proportional to 1,856.30, 2,784.62 and 589.77 is: 884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.30 : 2,784.62 = 589.77 : x
  2. Step 2: Convert to fraction form
    1,856.30/2,784.62 = 589.77/x
  3. Step 3: Cross multiply
    1,856.30x = 2,784.62 × 589.77
  4. Step 4: Simplify right side
    1,856.30x = 1,642,286.81
  5. Step 5: Solve for x
    x = 1,642,286.81/1,856.30
  6. Step 6: Final answer
    x = 884.71

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Why These Related Problems?

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