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Finding the Fourth Proportional to 1,505.93, 2,259.61 and 1,181.93

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Solution

The fourth proportional to 1,505.93, 2,259.61 and 1,181.93 is: 1,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.93 : 2,259.61 = 1,181.93 : x
  2. Step 2: Convert to fraction form
    1,505.93/2,259.61 = 1,181.93/x
  3. Step 3: Cross multiply
    1,505.93x = 2,259.61 × 1,181.93
  4. Step 4: Simplify right side
    1,505.93x = 2,670,686.59
  5. Step 5: Solve for x
    x = 2,670,686.59/1,505.93
  6. Step 6: Final answer
    x = 1,773.45

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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.