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Finding the Fourth Proportional to 2,120.57, 2,926.47 and 1,411.28

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Solution

The fourth proportional to 2,120.57, 2,926.47 and 1,411.28 is: 1,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.57 : 2,926.47 = 1,411.28 : x
  2. Step 2: Convert to fraction form
    2,120.57/2,926.47 = 1,411.28/x
  3. Step 3: Cross multiply
    2,120.57x = 2,926.47 × 1,411.28
  4. Step 4: Simplify right side
    2,120.57x = 4,130,070.22
  5. Step 5: Solve for x
    x = 4,130,070.22/2,120.57
  6. Step 6: Final answer
    x = 1,947.62

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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.