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Finding the Fourth Proportional to 2,692.81, 3,707.64 and 2,446.77

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Solution

The fourth proportional to 2,692.81, 3,707.64 and 2,446.77 is: 3,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.81 : 3,707.64 = 2,446.77 : x
  2. Step 2: Convert to fraction form
    2,692.81/3,707.64 = 2,446.77/x
  3. Step 3: Cross multiply
    2,692.81x = 3,707.64 × 2,446.77
  4. Step 4: Simplify right side
    2,692.81x = 9,071,742.32
  5. Step 5: Solve for x
    x = 9,071,742.32/2,692.81
  6. Step 6: Final answer
    x = 3,368.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.