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Finding the Fourth Proportional to 2,905.52, 4,355.12 and 1,445.76

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Solution

The fourth proportional to 2,905.52, 4,355.12 and 1,445.76 is: 2,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.52 : 4,355.12 = 1,445.76 : x
  2. Step 2: Convert to fraction form
    2,905.52/4,355.12 = 1,445.76/x
  3. Step 3: Cross multiply
    2,905.52x = 4,355.12 × 1,445.76
  4. Step 4: Simplify right side
    2,905.52x = 6,296,458.29
  5. Step 5: Solve for x
    x = 6,296,458.29/2,905.52
  6. Step 6: Final answer
    x = 2,167.07

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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.