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Finding the Fourth Proportional to 3,123.70, 4,686.46 and 1,477.98

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Solution

The fourth proportional to 3,123.70, 4,686.46 and 1,477.98 is: 2,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.70 : 4,686.46 = 1,477.98 : x
  2. Step 2: Convert to fraction form
    3,123.70/4,686.46 = 1,477.98/x
  3. Step 3: Cross multiply
    3,123.70x = 4,686.46 × 1,477.98
  4. Step 4: Simplify right side
    3,123.70x = 6,926,513.57
  5. Step 5: Solve for x
    x = 6,926,513.57/3,123.70
  6. Step 6: Final answer
    x = 2,217.41

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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.