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Finding the Fourth Proportional to 1,557.69, 2,149.73 and 1,509.22

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Solution

The fourth proportional to 1,557.69, 2,149.73 and 1,509.22 is: 2,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.69 : 2,149.73 = 1,509.22 : x
  2. Step 2: Convert to fraction form
    1,557.69/2,149.73 = 1,509.22/x
  3. Step 3: Cross multiply
    1,557.69x = 2,149.73 × 1,509.22
  4. Step 4: Simplify right side
    1,557.69x = 3,244,415.51
  5. Step 5: Solve for x
    x = 3,244,415.51/1,557.69
  6. Step 6: Final answer
    x = 2,082.84

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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.