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Finding the Fourth Proportional to 1,653.02, 2,283.54 and 1,321.04

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Solution

The fourth proportional to 1,653.02, 2,283.54 and 1,321.04 is: 1,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.02 : 2,283.54 = 1,321.04 : x
  2. Step 2: Convert to fraction form
    1,653.02/2,283.54 = 1,321.04/x
  3. Step 3: Cross multiply
    1,653.02x = 2,283.54 × 1,321.04
  4. Step 4: Simplify right side
    1,653.02x = 3,016,647.68
  5. Step 5: Solve for x
    x = 3,016,647.68/1,653.02
  6. Step 6: Final answer
    x = 1,824.93

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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.