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Finding the Fourth Proportional to 2,948.60, 4,430.10 and 2,219.60

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Solution

The fourth proportional to 2,948.60, 4,430.10 and 2,219.60 is: 3,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.60 : 4,430.10 = 2,219.60 : x
  2. Step 2: Convert to fraction form
    2,948.60/4,430.10 = 2,219.60/x
  3. Step 3: Cross multiply
    2,948.60x = 4,430.10 × 2,219.60
  4. Step 4: Simplify right side
    2,948.60x = 9,833,049.96
  5. Step 5: Solve for x
    x = 9,833,049.96/2,948.60
  6. Step 6: Final answer
    x = 3,334.82

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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.