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Finding the Fourth Proportional to 3,415.02, 5,123.54 and 1,223.70

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Solution

The fourth proportional to 3,415.02, 5,123.54 and 1,223.70 is: 1,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.02 : 5,123.54 = 1,223.70 : x
  2. Step 2: Convert to fraction form
    3,415.02/5,123.54 = 1,223.70/x
  3. Step 3: Cross multiply
    3,415.02x = 5,123.54 × 1,223.70
  4. Step 4: Simplify right side
    3,415.02x = 6,269,675.90
  5. Step 5: Solve for x
    x = 6,269,675.90/3,415.02
  6. Step 6: Final answer
    x = 1,835.91

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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.