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Finding the Fourth Proportional to 1,186.73, 1,636.16 and 973.25

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Solution

The fourth proportional to 1,186.73, 1,636.16 and 973.25 is: 1,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.73 : 1,636.16 = 973.25 : x
  2. Step 2: Convert to fraction form
    1,186.73/1,636.16 = 973.25/x
  3. Step 3: Cross multiply
    1,186.73x = 1,636.16 × 973.25
  4. Step 4: Simplify right side
    1,186.73x = 1,592,395.01
  5. Step 5: Solve for x
    x = 1,592,395.01/1,186.73
  6. Step 6: Final answer
    x = 1,341.84

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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.