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Finding the Fourth Proportional to 2,655.29, 3,664.35 and 1,460.41

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Solution

The fourth proportional to 2,655.29, 3,664.35 and 1,460.41 is: 2,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.29 : 3,664.35 = 1,460.41 : x
  2. Step 2: Convert to fraction form
    2,655.29/3,664.35 = 1,460.41/x
  3. Step 3: Cross multiply
    2,655.29x = 3,664.35 × 1,460.41
  4. Step 4: Simplify right side
    2,655.29x = 5,351,444.22
  5. Step 5: Solve for x
    x = 5,351,444.22/2,655.29
  6. Step 6: Final answer
    x = 2,015.39

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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.