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Finding the Fourth Proportional to 2,709.55, 4,066.04 and 1,477.74

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Solution

The fourth proportional to 2,709.55, 4,066.04 and 1,477.74 is: 2,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.55 : 4,066.04 = 1,477.74 : x
  2. Step 2: Convert to fraction form
    2,709.55/4,066.04 = 1,477.74/x
  3. Step 3: Cross multiply
    2,709.55x = 4,066.04 × 1,477.74
  4. Step 4: Simplify right side
    2,709.55x = 6,008,549.95
  5. Step 5: Solve for x
    x = 6,008,549.95/2,709.55
  6. Step 6: Final answer
    x = 2,217.55

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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.