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Finding the Fourth Proportional to 2,511.30, 3,766.95 and 972.30

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Solution

The fourth proportional to 2,511.30, 3,766.95 and 972.30 is: 1,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.30 : 3,766.95 = 972.30 : x
  2. Step 2: Convert to fraction form
    2,511.30/3,766.95 = 972.30/x
  3. Step 3: Cross multiply
    2,511.30x = 3,766.95 × 972.30
  4. Step 4: Simplify right side
    2,511.30x = 3,662,605.49
  5. Step 5: Solve for x
    x = 3,662,605.49/2,511.30
  6. Step 6: Final answer
    x = 1,458.45

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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.