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Finding the Fourth Proportional to 1,216.48, 1,826.55 and 972.28

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Solution

The fourth proportional to 1,216.48, 1,826.55 and 972.28 is: 1,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.48 : 1,826.55 = 972.28 : x
  2. Step 2: Convert to fraction form
    1,216.48/1,826.55 = 972.28/x
  3. Step 3: Cross multiply
    1,216.48x = 1,826.55 × 972.28
  4. Step 4: Simplify right side
    1,216.48x = 1,775,904.04
  5. Step 5: Solve for x
    x = 1,775,904.04/1,216.48
  6. Step 6: Final answer
    x = 1,459.88

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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.