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Finding the Fourth Proportional to 2,326.47, 3,489.74 and 683.05

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Solution

The fourth proportional to 2,326.47, 3,489.74 and 683.05 is: 1,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.47 : 3,489.74 = 683.05 : x
  2. Step 2: Convert to fraction form
    2,326.47/3,489.74 = 683.05/x
  3. Step 3: Cross multiply
    2,326.47x = 3,489.74 × 683.05
  4. Step 4: Simplify right side
    2,326.47x = 2,383,654.77
  5. Step 5: Solve for x
    x = 2,383,654.77/2,326.47
  6. Step 6: Final answer
    x = 1,024.58

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1.5x scale

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.