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Finding the Fourth Proportional to 1,381.11, 1,905.64 and 821.50

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Solution

The fourth proportional to 1,381.11, 1,905.64 and 821.50 is: 1,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.11 : 1,905.64 = 821.50 : x
  2. Step 2: Convert to fraction form
    1,381.11/1,905.64 = 821.50/x
  3. Step 3: Cross multiply
    1,381.11x = 1,905.64 × 821.50
  4. Step 4: Simplify right side
    1,381.11x = 1,565,483.26
  5. Step 5: Solve for x
    x = 1,565,483.26/1,381.11
  6. Step 6: Final answer
    x = 1,133.50

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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.