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Finding the Fourth Proportional to 1,557.76, 2,326.20 and 1,363.36

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Solution

The fourth proportional to 1,557.76, 2,326.20 and 1,363.36 is: 2,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.76 : 2,326.20 = 1,363.36 : x
  2. Step 2: Convert to fraction form
    1,557.76/2,326.20 = 1,363.36/x
  3. Step 3: Cross multiply
    1,557.76x = 2,326.20 × 1,363.36
  4. Step 4: Simplify right side
    1,557.76x = 3,171,448.03
  5. Step 5: Solve for x
    x = 3,171,448.03/1,557.76
  6. Step 6: Final answer
    x = 2,035.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.