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Finding the Fourth Proportional to 2,577.70, 3,866.58 and 1,705.80

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Solution

The fourth proportional to 2,577.70, 3,866.58 and 1,705.80 is: 2,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.70 : 3,866.58 = 1,705.80 : x
  2. Step 2: Convert to fraction form
    2,577.70/3,866.58 = 1,705.80/x
  3. Step 3: Cross multiply
    2,577.70x = 3,866.58 × 1,705.80
  4. Step 4: Simplify right side
    2,577.70x = 6,595,612.16
  5. Step 5: Solve for x
    x = 6,595,612.16/2,577.70
  6. Step 6: Final answer
    x = 2,558.72

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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.