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Finding the Fourth Proportional to 2,288.52, 3,430.08 and 1,054.80

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Solution

The fourth proportional to 2,288.52, 3,430.08 and 1,054.80 is: 1,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.52 : 3,430.08 = 1,054.80 : x
  2. Step 2: Convert to fraction form
    2,288.52/3,430.08 = 1,054.80/x
  3. Step 3: Cross multiply
    2,288.52x = 3,430.08 × 1,054.80
  4. Step 4: Simplify right side
    2,288.52x = 3,618,048.38
  5. Step 5: Solve for x
    x = 3,618,048.38/2,288.52
  6. Step 6: Final answer
    x = 1,580.96

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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.