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Finding the Fourth Proportional to 2,953.71, 4,427.82 and 1,004.56

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Solution

The fourth proportional to 2,953.71, 4,427.82 and 1,004.56 is: 1,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.71 : 4,427.82 = 1,004.56 : x
  2. Step 2: Convert to fraction form
    2,953.71/4,427.82 = 1,004.56/x
  3. Step 3: Cross multiply
    2,953.71x = 4,427.82 × 1,004.56
  4. Step 4: Simplify right side
    2,953.71x = 4,447,999.79
  5. Step 5: Solve for x
    x = 4,447,999.79/2,953.71
  6. Step 6: Final answer
    x = 1,505.90

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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.