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Finding the Fourth Proportional to 1,312.64, 1,958.80 and 1,167.20

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Solution

The fourth proportional to 1,312.64, 1,958.80 and 1,167.20 is: 1,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.64 : 1,958.80 = 1,167.20 : x
  2. Step 2: Convert to fraction form
    1,312.64/1,958.80 = 1,167.20/x
  3. Step 3: Cross multiply
    1,312.64x = 1,958.80 × 1,167.20
  4. Step 4: Simplify right side
    1,312.64x = 2,286,311.36
  5. Step 5: Solve for x
    x = 2,286,311.36/1,312.64
  6. Step 6: Final answer
    x = 1,741.77

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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.