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Finding the Fourth Proportional to 1,361.41, 2,043.65 and 1,011.32

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Solution

The fourth proportional to 1,361.41, 2,043.65 and 1,011.32 is: 1,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.41 : 2,043.65 = 1,011.32 : x
  2. Step 2: Convert to fraction form
    1,361.41/2,043.65 = 1,011.32/x
  3. Step 3: Cross multiply
    1,361.41x = 2,043.65 × 1,011.32
  4. Step 4: Simplify right side
    1,361.41x = 2,066,776.23
  5. Step 5: Solve for x
    x = 2,066,776.23/1,361.41
  6. Step 6: Final answer
    x = 1,518.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.