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Finding the Fourth Proportional to 2,460.39, 3,395.70 and 1,466.25

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Solution

The fourth proportional to 2,460.39, 3,395.70 and 1,466.25 is: 2,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.39 : 3,395.70 = 1,466.25 : x
  2. Step 2: Convert to fraction form
    2,460.39/3,395.70 = 1,466.25/x
  3. Step 3: Cross multiply
    2,460.39x = 3,395.70 × 1,466.25
  4. Step 4: Simplify right side
    2,460.39x = 4,978,945.13
  5. Step 5: Solve for x
    x = 4,978,945.13/2,460.39
  6. Step 6: Final answer
    x = 2,023.64

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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.