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Finding the Fourth Proportional to 2,902.47, 4,005.35 and 1,643.49

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Solution

The fourth proportional to 2,902.47, 4,005.35 and 1,643.49 is: 2,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.47 : 4,005.35 = 1,643.49 : x
  2. Step 2: Convert to fraction form
    2,902.47/4,005.35 = 1,643.49/x
  3. Step 3: Cross multiply
    2,902.47x = 4,005.35 × 1,643.49
  4. Step 4: Simplify right side
    2,902.47x = 6,582,744.45
  5. Step 5: Solve for x
    x = 6,582,744.45/2,902.47
  6. Step 6: Final answer
    x = 2,267.98

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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.