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Finding the Fourth Proportional to 2,849, 4,270.95 and 1,533.45

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Solution

The fourth proportional to 2,849, 4,270.95 and 1,533.45 is: 2,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849 : 4,270.95 = 1,533.45 : x
  2. Step 2: Convert to fraction form
    2,849/4,270.95 = 1,533.45/x
  3. Step 3: Cross multiply
    2,849x = 4,270.95 × 1,533.45
  4. Step 4: Simplify right side
    2,849x = 6,549,288.28
  5. Step 5: Solve for x
    x = 6,549,288.28/2,849
  6. Step 6: Final answer
    x = 2,298.80

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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.