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Finding the Fourth Proportional to 1,606.95, 2,408.78 and 619.56

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Solution

The fourth proportional to 1,606.95, 2,408.78 and 619.56 is: 928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.95 : 2,408.78 = 619.56 : x
  2. Step 2: Convert to fraction form
    1,606.95/2,408.78 = 619.56/x
  3. Step 3: Cross multiply
    1,606.95x = 2,408.78 × 619.56
  4. Step 4: Simplify right side
    1,606.95x = 1,492,380.64
  5. Step 5: Solve for x
    x = 1,492,380.64/1,606.95
  6. Step 6: Final answer
    x = 928.70

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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.