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Finding the Fourth Proportional to 1,363.08, 1,881.77 and 1,097.60

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Solution

The fourth proportional to 1,363.08, 1,881.77 and 1,097.60 is: 1,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.08 : 1,881.77 = 1,097.60 : x
  2. Step 2: Convert to fraction form
    1,363.08/1,881.77 = 1,097.60/x
  3. Step 3: Cross multiply
    1,363.08x = 1,881.77 × 1,097.60
  4. Step 4: Simplify right side
    1,363.08x = 2,065,415.86
  5. Step 5: Solve for x
    x = 2,065,415.86/1,363.08
  6. Step 6: Final answer
    x = 1,515.26

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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.