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Finding the Fourth Proportional to 1,589.56, 2,368.79 and 1,537.32

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Solution

The fourth proportional to 1,589.56, 2,368.79 and 1,537.32 is: 2,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.56 : 2,368.79 = 1,537.32 : x
  2. Step 2: Convert to fraction form
    1,589.56/2,368.79 = 1,537.32/x
  3. Step 3: Cross multiply
    1,589.56x = 2,368.79 × 1,537.32
  4. Step 4: Simplify right side
    1,589.56x = 3,641,576.40
  5. Step 5: Solve for x
    x = 3,641,576.40/1,589.56
  6. Step 6: Final answer
    x = 2,290.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.