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Finding the Fourth Proportional to 1,216.23, 1,826.17 and 972.03

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Solution

The fourth proportional to 1,216.23, 1,826.17 and 972.03 is: 1,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.23 : 1,826.17 = 972.03 : x
  2. Step 2: Convert to fraction form
    1,216.23/1,826.17 = 972.03/x
  3. Step 3: Cross multiply
    1,216.23x = 1,826.17 × 972.03
  4. Step 4: Simplify right side
    1,216.23x = 1,775,092.03
  5. Step 5: Solve for x
    x = 1,775,092.03/1,216.23
  6. Step 6: Final answer
    x = 1,459.50

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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.