Home / 1,577.82-2,174.67-1,184.16

Finding the Fourth Proportional to 1,577.82, 2,174.67 and 1,184.16

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Solution

The fourth proportional to 1,577.82, 2,174.67 and 1,184.16 is: 1,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.82 : 2,174.67 = 1,184.16 : x
  2. Step 2: Convert to fraction form
    1,577.82/2,174.67 = 1,184.16/x
  3. Step 3: Cross multiply
    1,577.82x = 2,174.67 × 1,184.16
  4. Step 4: Simplify right side
    1,577.82x = 2,575,157.23
  5. Step 5: Solve for x
    x = 2,575,157.23/1,577.82
  6. Step 6: Final answer
    x = 1,632.10

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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.