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Finding the Fourth Proportional to 2,798.84, 4,196.88 and 949.28

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Solution

The fourth proportional to 2,798.84, 4,196.88 and 949.28 is: 1,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.84 : 4,196.88 = 949.28 : x
  2. Step 2: Convert to fraction form
    2,798.84/4,196.88 = 949.28/x
  3. Step 3: Cross multiply
    2,798.84x = 4,196.88 × 949.28
  4. Step 4: Simplify right side
    2,798.84x = 3,984,014.25
  5. Step 5: Solve for x
    x = 3,984,014.25/2,798.84
  6. Step 6: Final answer
    x = 1,423.45

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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.