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Finding the Fourth Proportional to 2,456.40, 3,684.60 and 2,294.40

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Solution

The fourth proportional to 2,456.40, 3,684.60 and 2,294.40 is: 3,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.40 : 3,684.60 = 2,294.40 : x
  2. Step 2: Convert to fraction form
    2,456.40/3,684.60 = 2,294.40/x
  3. Step 3: Cross multiply
    2,456.40x = 3,684.60 × 2,294.40
  4. Step 4: Simplify right side
    2,456.40x = 8,453,946.24
  5. Step 5: Solve for x
    x = 8,453,946.24/2,456.40
  6. Step 6: Final answer
    x = 3,441.60

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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.