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Finding the Fourth Proportional to 1,427.66, 2,140.45 and 606.30

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Solution

The fourth proportional to 1,427.66, 2,140.45 and 606.30 is: 909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.66 : 2,140.45 = 606.30 : x
  2. Step 2: Convert to fraction form
    1,427.66/2,140.45 = 606.30/x
  3. Step 3: Cross multiply
    1,427.66x = 2,140.45 × 606.30
  4. Step 4: Simplify right side
    1,427.66x = 1,297,754.84
  5. Step 5: Solve for x
    x = 1,297,754.84/1,427.66
  6. Step 6: Final answer
    x = 909.01

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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.