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Finding the Fourth Proportional to 2,610.32, 3,602.22 and 1,431.40

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Solution

The fourth proportional to 2,610.32, 3,602.22 and 1,431.40 is: 1,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.32 : 3,602.22 = 1,431.40 : x
  2. Step 2: Convert to fraction form
    2,610.32/3,602.22 = 1,431.40/x
  3. Step 3: Cross multiply
    2,610.32x = 3,602.22 × 1,431.40
  4. Step 4: Simplify right side
    2,610.32x = 5,156,217.71
  5. Step 5: Solve for x
    x = 5,156,217.71/2,610.32
  6. Step 6: Final answer
    x = 1,975.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.