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Finding the Fourth Proportional to 2,902.40, 4,005.60 and 1,643.52

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Solution

The fourth proportional to 2,902.40, 4,005.60 and 1,643.52 is: 2,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.40 : 4,005.60 = 1,643.52 : x
  2. Step 2: Convert to fraction form
    2,902.40/4,005.60 = 1,643.52/x
  3. Step 3: Cross multiply
    2,902.40x = 4,005.60 × 1,643.52
  4. Step 4: Simplify right side
    2,902.40x = 6,583,283.71
  5. Step 5: Solve for x
    x = 6,583,283.71/2,902.40
  6. Step 6: Final answer
    x = 2,268.22

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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.