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Finding the Fourth Proportional to 1,327.18, 1,827.51 and 906.81

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Solution

The fourth proportional to 1,327.18, 1,827.51 and 906.81 is: 1,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.18 : 1,827.51 = 906.81 : x
  2. Step 2: Convert to fraction form
    1,327.18/1,827.51 = 906.81/x
  3. Step 3: Cross multiply
    1,327.18x = 1,827.51 × 906.81
  4. Step 4: Simplify right side
    1,327.18x = 1,657,201.76
  5. Step 5: Solve for x
    x = 1,657,201.76/1,327.18
  6. Step 6: Final answer
    x = 1,248.67

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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.