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Finding the Fourth Proportional to 1,830.33, 2,746.58 and 856.53

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Solution

The fourth proportional to 1,830.33, 2,746.58 and 856.53 is: 1,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.33 : 2,746.58 = 856.53 : x
  2. Step 2: Convert to fraction form
    1,830.33/2,746.58 = 856.53/x
  3. Step 3: Cross multiply
    1,830.33x = 2,746.58 × 856.53
  4. Step 4: Simplify right side
    1,830.33x = 2,352,523.88
  5. Step 5: Solve for x
    x = 2,352,523.88/1,830.33
  6. Step 6: Final answer
    x = 1,285.30

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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.