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Finding the Fourth Proportional to 2,455.70, 3,683.46 and 606.80

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Solution

The fourth proportional to 2,455.70, 3,683.46 and 606.80 is: 910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.70 : 3,683.46 = 606.80 : x
  2. Step 2: Convert to fraction form
    2,455.70/3,683.46 = 606.80/x
  3. Step 3: Cross multiply
    2,455.70x = 3,683.46 × 606.80
  4. Step 4: Simplify right side
    2,455.70x = 2,235,123.53
  5. Step 5: Solve for x
    x = 2,235,123.53/2,455.70
  6. Step 6: Final answer
    x = 910.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.