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Finding the Fourth Proportional to 2,653.23, 3,661.28 and 1,458.19

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Solution

The fourth proportional to 2,653.23, 3,661.28 and 1,458.19 is: 2,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.23 : 3,661.28 = 1,458.19 : x
  2. Step 2: Convert to fraction form
    2,653.23/3,661.28 = 1,458.19/x
  3. Step 3: Cross multiply
    2,653.23x = 3,661.28 × 1,458.19
  4. Step 4: Simplify right side
    2,653.23x = 5,338,823.72
  5. Step 5: Solve for x
    x = 5,338,823.72/2,653.23
  6. Step 6: Final answer
    x = 2,012.20

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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.