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Finding the Fourth Proportional to 2,465.44, 3,402.25 and 1,346.41

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Solution

The fourth proportional to 2,465.44, 3,402.25 and 1,346.41 is: 1,858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.44 : 3,402.25 = 1,346.41 : x
  2. Step 2: Convert to fraction form
    2,465.44/3,402.25 = 1,346.41/x
  3. Step 3: Cross multiply
    2,465.44x = 3,402.25 × 1,346.41
  4. Step 4: Simplify right side
    2,465.44x = 4,580,823.42
  5. Step 5: Solve for x
    x = 4,580,823.42/2,465.44
  6. Step 6: Final answer
    x = 1,858.01

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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.