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Finding the Fourth Proportional to 1,497.86, 2,236.60 and 1,186.21

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Solution

The fourth proportional to 1,497.86, 2,236.60 and 1,186.21 is: 1,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.86 : 2,236.60 = 1,186.21 : x
  2. Step 2: Convert to fraction form
    1,497.86/2,236.60 = 1,186.21/x
  3. Step 3: Cross multiply
    1,497.86x = 2,236.60 × 1,186.21
  4. Step 4: Simplify right side
    1,497.86x = 2,653,077.29
  5. Step 5: Solve for x
    x = 2,653,077.29/1,497.86
  6. Step 6: Final answer
    x = 1,771.25

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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.