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Finding the Fourth Proportional to 1,406.90, 1,941.66 and 817.40

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Solution

The fourth proportional to 1,406.90, 1,941.66 and 817.40 is: 1,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.90 : 1,941.66 = 817.40 : x
  2. Step 2: Convert to fraction form
    1,406.90/1,941.66 = 817.40/x
  3. Step 3: Cross multiply
    1,406.90x = 1,941.66 × 817.40
  4. Step 4: Simplify right side
    1,406.90x = 1,587,112.88
  5. Step 5: Solve for x
    x = 1,587,112.88/1,406.90
  6. Step 6: Final answer
    x = 1,128.09

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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.