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Finding the Fourth Proportional to 2,467.66, 3,405.48 and 1,420.06

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Solution

The fourth proportional to 2,467.66, 3,405.48 and 1,420.06 is: 1,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.66 : 3,405.48 = 1,420.06 : x
  2. Step 2: Convert to fraction form
    2,467.66/3,405.48 = 1,420.06/x
  3. Step 3: Cross multiply
    2,467.66x = 3,405.48 × 1,420.06
  4. Step 4: Simplify right side
    2,467.66x = 4,835,985.93
  5. Step 5: Solve for x
    x = 4,835,985.93/2,467.66
  6. Step 6: Final answer
    x = 1,959.75

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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.