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Finding the Fourth Proportional to 2,610.76, 3,602.70 and 1,431.62

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Solution

The fourth proportional to 2,610.76, 3,602.70 and 1,431.62 is: 1,975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.76 : 3,602.70 = 1,431.62 : x
  2. Step 2: Convert to fraction form
    2,610.76/3,602.70 = 1,431.62/x
  3. Step 3: Cross multiply
    2,610.76x = 3,602.70 × 1,431.62
  4. Step 4: Simplify right side
    2,610.76x = 5,157,697.37
  5. Step 5: Solve for x
    x = 5,157,697.37/2,610.76
  6. Step 6: Final answer
    x = 1,975.55

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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.