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Finding the Fourth Proportional to 2,610.84, 3,602.97 and 1,432.02

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Solution

The fourth proportional to 2,610.84, 3,602.97 and 1,432.02 is: 1,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.84 : 3,602.97 = 1,432.02 : x
  2. Step 2: Convert to fraction form
    2,610.84/3,602.97 = 1,432.02/x
  3. Step 3: Cross multiply
    2,610.84x = 3,602.97 × 1,432.02
  4. Step 4: Simplify right side
    2,610.84x = 5,159,525.10
  5. Step 5: Solve for x
    x = 5,159,525.10/2,610.84
  6. Step 6: Final answer
    x = 1,976.19

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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.