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Finding the Fourth Proportional to 2,953.49, 4,430.25 and 845.12

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Solution

The fourth proportional to 2,953.49, 4,430.25 and 845.12 is: 1,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.49 : 4,430.25 = 845.12 : x
  2. Step 2: Convert to fraction form
    2,953.49/4,430.25 = 845.12/x
  3. Step 3: Cross multiply
    2,953.49x = 4,430.25 × 845.12
  4. Step 4: Simplify right side
    2,953.49x = 3,744,070.73
  5. Step 5: Solve for x
    x = 3,744,070.73/2,953.49
  6. Step 6: Final answer
    x = 1,267.68

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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.