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Finding the Fourth Proportional to 2,056.26, 2,839 and 1,583.32

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Solution

The fourth proportional to 2,056.26, 2,839 and 1,583.32 is: 2,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.26 : 2,839 = 1,583.32 : x
  2. Step 2: Convert to fraction form
    2,056.26/2,839 = 1,583.32/x
  3. Step 3: Cross multiply
    2,056.26x = 2,839 × 1,583.32
  4. Step 4: Simplify right side
    2,056.26x = 4,495,045.48
  5. Step 5: Solve for x
    x = 4,495,045.48/2,056.26
  6. Step 6: Final answer
    x = 2,186.03

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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.