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Finding the Fourth Proportional to 1,366.17, 1,885.05 and 945.84

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Solution

The fourth proportional to 1,366.17, 1,885.05 and 945.84 is: 1,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.17 : 1,885.05 = 945.84 : x
  2. Step 2: Convert to fraction form
    1,366.17/1,885.05 = 945.84/x
  3. Step 3: Cross multiply
    1,366.17x = 1,885.05 × 945.84
  4. Step 4: Simplify right side
    1,366.17x = 1,782,955.69
  5. Step 5: Solve for x
    x = 1,782,955.69/1,366.17
  6. Step 6: Final answer
    x = 1,305.08

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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.