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Finding the Fourth Proportional to 1,571.77, 2,356.44 and 1,051.75

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Solution

The fourth proportional to 1,571.77, 2,356.44 and 1,051.75 is: 1,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.77 : 2,356.44 = 1,051.75 : x
  2. Step 2: Convert to fraction form
    1,571.77/2,356.44 = 1,051.75/x
  3. Step 3: Cross multiply
    1,571.77x = 2,356.44 × 1,051.75
  4. Step 4: Simplify right side
    1,571.77x = 2,478,385.77
  5. Step 5: Solve for x
    x = 2,478,385.77/1,571.77
  6. Step 6: Final answer
    x = 1,576.81

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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.