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Finding the Fourth Proportional to 1,445.54, 1,997.10 and 947.99

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Solution

The fourth proportional to 1,445.54, 1,997.10 and 947.99 is: 1,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.54 : 1,997.10 = 947.99 : x
  2. Step 2: Convert to fraction form
    1,445.54/1,997.10 = 947.99/x
  3. Step 3: Cross multiply
    1,445.54x = 1,997.10 × 947.99
  4. Step 4: Simplify right side
    1,445.54x = 1,893,220.84
  5. Step 5: Solve for x
    x = 1,893,220.84/1,445.54
  6. Step 6: Final answer
    x = 1,309.70

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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.