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Finding the Fourth Proportional to 1,916.96, 2,643.65 and 1,420.84

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Solution

The fourth proportional to 1,916.96, 2,643.65 and 1,420.84 is: 1,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.96 : 2,643.65 = 1,420.84 : x
  2. Step 2: Convert to fraction form
    1,916.96/2,643.65 = 1,420.84/x
  3. Step 3: Cross multiply
    1,916.96x = 2,643.65 × 1,420.84
  4. Step 4: Simplify right side
    1,916.96x = 3,756,190.45
  5. Step 5: Solve for x
    x = 3,756,190.45/1,916.96
  6. Step 6: Final answer
    x = 1,959.45

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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.