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Finding the Fourth Proportional to 2,610.40, 3,602.36 and 1,415.42

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Solution

The fourth proportional to 2,610.40, 3,602.36 and 1,415.42 is: 1,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.40 : 3,602.36 = 1,415.42 : x
  2. Step 2: Convert to fraction form
    2,610.40/3,602.36 = 1,415.42/x
  3. Step 3: Cross multiply
    2,610.40x = 3,602.36 × 1,415.42
  4. Step 4: Simplify right side
    2,610.40x = 5,098,852.39
  5. Step 5: Solve for x
    x = 5,098,852.39/2,610.40
  6. Step 6: Final answer
    x = 1,953.28

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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.