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Finding the Fourth Proportional to 2,402.10, 3,594.98 and 1,478.22

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Solution

The fourth proportional to 2,402.10, 3,594.98 and 1,478.22 is: 2,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.10 : 3,594.98 = 1,478.22 : x
  2. Step 2: Convert to fraction form
    2,402.10/3,594.98 = 1,478.22/x
  3. Step 3: Cross multiply
    2,402.10x = 3,594.98 × 1,478.22
  4. Step 4: Simplify right side
    2,402.10x = 5,314,171.34
  5. Step 5: Solve for x
    x = 5,314,171.34/2,402.10
  6. Step 6: Final answer
    x = 2,212.30

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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.