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Finding the Fourth Proportional to 2,589.58, 3,574.56 and 1,705.78

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Solution

The fourth proportional to 2,589.58, 3,574.56 and 1,705.78 is: 2,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.58 : 3,574.56 = 1,705.78 : x
  2. Step 2: Convert to fraction form
    2,589.58/3,574.56 = 1,705.78/x
  3. Step 3: Cross multiply
    2,589.58x = 3,574.56 × 1,705.78
  4. Step 4: Simplify right side
    2,589.58x = 6,097,412.96
  5. Step 5: Solve for x
    x = 6,097,412.96/2,589.58
  6. Step 6: Final answer
    x = 2,354.60

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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.