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Finding the Fourth Proportional to 2,449.33, 3,381.41 and 1,653.91

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Solution

The fourth proportional to 2,449.33, 3,381.41 and 1,653.91 is: 2,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.33 : 3,381.41 = 1,653.91 : x
  2. Step 2: Convert to fraction form
    2,449.33/3,381.41 = 1,653.91/x
  3. Step 3: Cross multiply
    2,449.33x = 3,381.41 × 1,653.91
  4. Step 4: Simplify right side
    2,449.33x = 5,592,547.81
  5. Step 5: Solve for x
    x = 5,592,547.81/2,449.33
  6. Step 6: Final answer
    x = 2,283.30

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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.