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Finding the Fourth Proportional to 1,367.55, 1,885.19 and 947.25

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Solution

The fourth proportional to 1,367.55, 1,885.19 and 947.25 is: 1,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.55 : 1,885.19 = 947.25 : x
  2. Step 2: Convert to fraction form
    1,367.55/1,885.19 = 947.25/x
  3. Step 3: Cross multiply
    1,367.55x = 1,885.19 × 947.25
  4. Step 4: Simplify right side
    1,367.55x = 1,785,741.49
  5. Step 5: Solve for x
    x = 1,785,741.49/1,367.55
  6. Step 6: Final answer
    x = 1,305.80

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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.