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Finding the Fourth Proportional to 2,354.46, 3,531.23 and 873.45

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Solution

The fourth proportional to 2,354.46, 3,531.23 and 873.45 is: 1,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.46 : 3,531.23 = 873.45 : x
  2. Step 2: Convert to fraction form
    2,354.46/3,531.23 = 873.45/x
  3. Step 3: Cross multiply
    2,354.46x = 3,531.23 × 873.45
  4. Step 4: Simplify right side
    2,354.46x = 3,084,352.84
  5. Step 5: Solve for x
    x = 3,084,352.84/2,354.46
  6. Step 6: Final answer
    x = 1,310.00

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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.