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Finding the Fourth Proportional to 1,559.21, 2,151.44 and 895.82

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Solution

The fourth proportional to 1,559.21, 2,151.44 and 895.82 is: 1,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.21 : 2,151.44 = 895.82 : x
  2. Step 2: Convert to fraction form
    1,559.21/2,151.44 = 895.82/x
  3. Step 3: Cross multiply
    1,559.21x = 2,151.44 × 895.82
  4. Step 4: Simplify right side
    1,559.21x = 1,927,287.74
  5. Step 5: Solve for x
    x = 1,927,287.74/1,559.21
  6. Step 6: Final answer
    x = 1,236.07

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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.