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Finding the Fourth Proportional to 1,632.82, 2,253.93 and 1,135.74

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Solution

The fourth proportional to 1,632.82, 2,253.93 and 1,135.74 is: 1,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.82 : 2,253.93 = 1,135.74 : x
  2. Step 2: Convert to fraction form
    1,632.82/2,253.93 = 1,135.74/x
  3. Step 3: Cross multiply
    1,632.82x = 2,253.93 × 1,135.74
  4. Step 4: Simplify right side
    1,632.82x = 2,559,894.41
  5. Step 5: Solve for x
    x = 2,559,894.41/1,632.82
  6. Step 6: Final answer
    x = 1,567.78

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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.