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Finding the Fourth Proportional to 2,465.69, 3,402.73 and 1,346.69

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Solution

The fourth proportional to 2,465.69, 3,402.73 and 1,346.69 is: 1,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.69 : 3,402.73 = 1,346.69 : x
  2. Step 2: Convert to fraction form
    2,465.69/3,402.73 = 1,346.69/x
  3. Step 3: Cross multiply
    2,465.69x = 3,402.73 × 1,346.69
  4. Step 4: Simplify right side
    2,465.69x = 4,582,432.65
  5. Step 5: Solve for x
    x = 4,582,432.65/2,465.69
  6. Step 6: Final answer
    x = 1,858.48

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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.