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Finding the Fourth Proportional to 1,577.96, 2,367.30 and 1,116.64

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Solution

The fourth proportional to 1,577.96, 2,367.30 and 1,116.64 is: 1,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.96 : 2,367.30 = 1,116.64 : x
  2. Step 2: Convert to fraction form
    1,577.96/2,367.30 = 1,116.64/x
  3. Step 3: Cross multiply
    1,577.96x = 2,367.30 × 1,116.64
  4. Step 4: Simplify right side
    1,577.96x = 2,643,421.87
  5. Step 5: Solve for x
    x = 2,643,421.87/1,577.96
  6. Step 6: Final answer
    x = 1,675.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.