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Finding the Fourth Proportional to 2,407.35, 3,322.36 and 1,462.92

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Solution

The fourth proportional to 2,407.35, 3,322.36 and 1,462.92 is: 2,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.35 : 3,322.36 = 1,462.92 : x
  2. Step 2: Convert to fraction form
    2,407.35/3,322.36 = 1,462.92/x
  3. Step 3: Cross multiply
    2,407.35x = 3,322.36 × 1,462.92
  4. Step 4: Simplify right side
    2,407.35x = 4,860,350.55
  5. Step 5: Solve for x
    x = 4,860,350.55/2,407.35
  6. Step 6: Final answer
    x = 2,018.97

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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.