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Finding the Fourth Proportional to 1,505.61, 2,259.77 and 1,260.35

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Solution

The fourth proportional to 1,505.61, 2,259.77 and 1,260.35 is: 1,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.61 : 2,259.77 = 1,260.35 : x
  2. Step 2: Convert to fraction form
    1,505.61/2,259.77 = 1,260.35/x
  3. Step 3: Cross multiply
    1,505.61x = 2,259.77 × 1,260.35
  4. Step 4: Simplify right side
    1,505.61x = 2,848,091.99
  5. Step 5: Solve for x
    x = 2,848,091.99/1,505.61
  6. Step 6: Final answer
    x = 1,891.65

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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.