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Finding the Fourth Proportional to 2,460.64, 3,395.58 and 1,465.68

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Solution

The fourth proportional to 2,460.64, 3,395.58 and 1,465.68 is: 2,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.64 : 3,395.58 = 1,465.68 : x
  2. Step 2: Convert to fraction form
    2,460.64/3,395.58 = 1,465.68/x
  3. Step 3: Cross multiply
    2,460.64x = 3,395.58 × 1,465.68
  4. Step 4: Simplify right side
    2,460.64x = 4,976,833.69
  5. Step 5: Solve for x
    x = 4,976,833.69/2,460.64
  6. Step 6: Final answer
    x = 2,022.58

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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.