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Finding the Fourth Proportional to 1,217.76, 1,826.64 and 973.14

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Solution

The fourth proportional to 1,217.76, 1,826.64 and 973.14 is: 1,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.76 : 1,826.64 = 973.14 : x
  2. Step 2: Convert to fraction form
    1,217.76/1,826.64 = 973.14/x
  3. Step 3: Cross multiply
    1,217.76x = 1,826.64 × 973.14
  4. Step 4: Simplify right side
    1,217.76x = 1,777,576.45
  5. Step 5: Solve for x
    x = 1,777,576.45/1,217.76
  6. Step 6: Final answer
    x = 1,459.71

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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.