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Finding the Fourth Proportional to 2,225.67, 3,072.43 and 1,430.15

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Solution

The fourth proportional to 2,225.67, 3,072.43 and 1,430.15 is: 1,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.67 : 3,072.43 = 1,430.15 : x
  2. Step 2: Convert to fraction form
    2,225.67/3,072.43 = 1,430.15/x
  3. Step 3: Cross multiply
    2,225.67x = 3,072.43 × 1,430.15
  4. Step 4: Simplify right side
    2,225.67x = 4,394,035.76
  5. Step 5: Solve for x
    x = 4,394,035.76/2,225.67
  6. Step 6: Final answer
    x = 1,974.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.