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Finding the Fourth Proportional to 1,505.89, 2,077.99 and 1,152.06

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Solution

The fourth proportional to 1,505.89, 2,077.99 and 1,152.06 is: 1,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.89 : 2,077.99 = 1,152.06 : x
  2. Step 2: Convert to fraction form
    1,505.89/2,077.99 = 1,152.06/x
  3. Step 3: Cross multiply
    1,505.89x = 2,077.99 × 1,152.06
  4. Step 4: Simplify right side
    1,505.89x = 2,393,969.16
  5. Step 5: Solve for x
    x = 2,393,969.16/1,505.89
  6. Step 6: Final answer
    x = 1,589.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.