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Finding the Fourth Proportional to 2,206.63, 3,310.04 and 973.76

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Solution

The fourth proportional to 2,206.63, 3,310.04 and 973.76 is: 1,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.63 : 3,310.04 = 973.76 : x
  2. Step 2: Convert to fraction form
    2,206.63/3,310.04 = 973.76/x
  3. Step 3: Cross multiply
    2,206.63x = 3,310.04 × 973.76
  4. Step 4: Simplify right side
    2,206.63x = 3,223,184.55
  5. Step 5: Solve for x
    x = 3,223,184.55/2,206.63
  6. Step 6: Final answer
    x = 1,460.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.