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Finding the Fourth Proportional to 2,783.49, 4,178.88 and 2,353.38

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Solution

The fourth proportional to 2,783.49, 4,178.88 and 2,353.38 is: 3,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.49 : 4,178.88 = 2,353.38 : x
  2. Step 2: Convert to fraction form
    2,783.49/4,178.88 = 2,353.38/x
  3. Step 3: Cross multiply
    2,783.49x = 4,178.88 × 2,353.38
  4. Step 4: Simplify right side
    2,783.49x = 9,834,492.61
  5. Step 5: Solve for x
    x = 9,834,492.61/2,783.49
  6. Step 6: Final answer
    x = 3,533.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.