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Finding the Fourth Proportional to 2,385.50, 3,578.30 and 654.17

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Solution

The fourth proportional to 2,385.50, 3,578.30 and 654.17 is: 981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.50 : 3,578.30 = 654.17 : x
  2. Step 2: Convert to fraction form
    2,385.50/3,578.30 = 654.17/x
  3. Step 3: Cross multiply
    2,385.50x = 3,578.30 × 654.17
  4. Step 4: Simplify right side
    2,385.50x = 2,340,813.24
  5. Step 5: Solve for x
    x = 2,340,813.24/2,385.50
  6. Step 6: Final answer
    x = 981.27

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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.