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Finding the Fourth Proportional to 2,653.45, 3,661.59 and 1,458.46

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Solution

The fourth proportional to 2,653.45, 3,661.59 and 1,458.46 is: 2,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.45 : 3,661.59 = 1,458.46 : x
  2. Step 2: Convert to fraction form
    2,653.45/3,661.59 = 1,458.46/x
  3. Step 3: Cross multiply
    2,653.45x = 3,661.59 × 1,458.46
  4. Step 4: Simplify right side
    2,653.45x = 5,340,282.55
  5. Step 5: Solve for x
    x = 5,340,282.55/2,653.45
  6. Step 6: Final answer
    x = 2,012.58

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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.