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Finding the Fourth Proportional to 2,531.91, 3,798.09 and 972.30

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Solution

The fourth proportional to 2,531.91, 3,798.09 and 972.30 is: 1,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.91 : 3,798.09 = 972.30 : x
  2. Step 2: Convert to fraction form
    2,531.91/3,798.09 = 972.30/x
  3. Step 3: Cross multiply
    2,531.91x = 3,798.09 × 972.30
  4. Step 4: Simplify right side
    2,531.91x = 3,692,897.15
  5. Step 5: Solve for x
    x = 3,692,897.15/2,531.91
  6. Step 6: Final answer
    x = 1,458.54

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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.