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Finding the Fourth Proportional to 1,776.02, 2,664.21 and 606.14

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Solution

The fourth proportional to 1,776.02, 2,664.21 and 606.14 is: 909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.02 : 2,664.21 = 606.14 : x
  2. Step 2: Convert to fraction form
    1,776.02/2,664.21 = 606.14/x
  3. Step 3: Cross multiply
    1,776.02x = 2,664.21 × 606.14
  4. Step 4: Simplify right side
    1,776.02x = 1,614,870.93
  5. Step 5: Solve for x
    x = 1,614,870.93/1,776.02
  6. Step 6: Final answer
    x = 909.27

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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.