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Finding the Fourth Proportional to 2,205.95, 3,306.96 and 973.53

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Solution

The fourth proportional to 2,205.95, 3,306.96 and 973.53 is: 1,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.95 : 3,306.96 = 973.53 : x
  2. Step 2: Convert to fraction form
    2,205.95/3,306.96 = 973.53/x
  3. Step 3: Cross multiply
    2,205.95x = 3,306.96 × 973.53
  4. Step 4: Simplify right side
    2,205.95x = 3,219,424.77
  5. Step 5: Solve for x
    x = 3,219,424.77/2,205.95
  6. Step 6: Final answer
    x = 1,459.43

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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.