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Finding the Fourth Proportional to 4,699.70, 7,050.45 and 2,102.63

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Solution

The fourth proportional to 4,699.70, 7,050.45 and 2,102.63 is: 3,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.70 : 7,050.45 = 2,102.63 : x
  2. Step 2: Convert to fraction form
    4,699.70/7,050.45 = 2,102.63/x
  3. Step 3: Cross multiply
    4,699.70x = 7,050.45 × 2,102.63
  4. Step 4: Simplify right side
    4,699.70x = 14,824,452.43
  5. Step 5: Solve for x
    x = 14,824,452.43/4,699.70
  6. Step 6: Final answer
    x = 3,154.34

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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.