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Finding the Fourth Proportional to 1,617.59, 2,427.46 and 693.34

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Solution

The fourth proportional to 1,617.59, 2,427.46 and 693.34 is: 1,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.59 : 2,427.46 = 693.34 : x
  2. Step 2: Convert to fraction form
    1,617.59/2,427.46 = 693.34/x
  3. Step 3: Cross multiply
    1,617.59x = 2,427.46 × 693.34
  4. Step 4: Simplify right side
    1,617.59x = 1,683,047.31
  5. Step 5: Solve for x
    x = 1,683,047.31/1,617.59
  6. Step 6: Final answer
    x = 1,040.46

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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.