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Finding the Fourth Proportional to 2,299.12, 3,445.94 and 1,602.01

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Solution

The fourth proportional to 2,299.12, 3,445.94 and 1,602.01 is: 2,401.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.12 : 3,445.94 = 1,602.01 : x
  2. Step 2: Convert to fraction form
    2,299.12/3,445.94 = 1,602.01/x
  3. Step 3: Cross multiply
    2,299.12x = 3,445.94 × 1,602.01
  4. Step 4: Simplify right side
    2,299.12x = 5,520,430.34
  5. Step 5: Solve for x
    x = 5,520,430.34/2,299.12
  6. Step 6: Final answer
    x = 2,401.11

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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.