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Finding the Fourth Proportional to 1,420.84, 1,961.70 and 917.62

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Solution

The fourth proportional to 1,420.84, 1,961.70 and 917.62 is: 1,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.84 : 1,961.70 = 917.62 : x
  2. Step 2: Convert to fraction form
    1,420.84/1,961.70 = 917.62/x
  3. Step 3: Cross multiply
    1,420.84x = 1,961.70 × 917.62
  4. Step 4: Simplify right side
    1,420.84x = 1,800,095.15
  5. Step 5: Solve for x
    x = 1,800,095.15/1,420.84
  6. Step 6: Final answer
    x = 1,266.92

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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.