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Finding the Fourth Proportional to 2,602.63, 3,901.62 and 958.78

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Solution

The fourth proportional to 2,602.63, 3,901.62 and 958.78 is: 1,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.63 : 3,901.62 = 958.78 : x
  2. Step 2: Convert to fraction form
    2,602.63/3,901.62 = 958.78/x
  3. Step 3: Cross multiply
    2,602.63x = 3,901.62 × 958.78
  4. Step 4: Simplify right side
    2,602.63x = 3,740,775.72
  5. Step 5: Solve for x
    x = 3,740,775.72/2,602.63
  6. Step 6: Final answer
    x = 1,437.31

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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.