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Finding the Fourth Proportional to 1,406.34, 2,114.07 and 1,304.90

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Solution

The fourth proportional to 1,406.34, 2,114.07 and 1,304.90 is: 1,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.34 : 2,114.07 = 1,304.90 : x
  2. Step 2: Convert to fraction form
    1,406.34/2,114.07 = 1,304.90/x
  3. Step 3: Cross multiply
    1,406.34x = 2,114.07 × 1,304.90
  4. Step 4: Simplify right side
    1,406.34x = 2,758,639.37
  5. Step 5: Solve for x
    x = 2,758,639.37/1,406.34
  6. Step 6: Final answer
    x = 1,961.57

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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.