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Finding the Fourth Proportional to 2,051.58, 3,077.31 and 570.80

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Solution

The fourth proportional to 2,051.58, 3,077.31 and 570.80 is: 856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.58 : 3,077.31 = 570.80 : x
  2. Step 2: Convert to fraction form
    2,051.58/3,077.31 = 570.80/x
  3. Step 3: Cross multiply
    2,051.58x = 3,077.31 × 570.80
  4. Step 4: Simplify right side
    2,051.58x = 1,756,513.16
  5. Step 5: Solve for x
    x = 1,756,513.16/2,051.58
  6. Step 6: Final answer
    x = 856.18

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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.