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Finding the Fourth Proportional to 1,261.46, 1,890.96 and 611.84

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Solution

The fourth proportional to 1,261.46, 1,890.96 and 611.84 is: 917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.46 : 1,890.96 = 611.84 : x
  2. Step 2: Convert to fraction form
    1,261.46/1,890.96 = 611.84/x
  3. Step 3: Cross multiply
    1,261.46x = 1,890.96 × 611.84
  4. Step 4: Simplify right side
    1,261.46x = 1,156,955.51
  5. Step 5: Solve for x
    x = 1,156,955.51/1,261.46
  6. Step 6: Final answer
    x = 917.16

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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.