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Finding the Fourth Proportional to 1,970.16, 2,718.90 and 1,131

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Solution

The fourth proportional to 1,970.16, 2,718.90 and 1,131 is: 1,560.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.16 : 2,718.90 = 1,131 : x
  2. Step 2: Convert to fraction form
    1,970.16/2,718.90 = 1,131/x
  3. Step 3: Cross multiply
    1,970.16x = 2,718.90 × 1,131
  4. Step 4: Simplify right side
    1,970.16x = 3,075,075.90
  5. Step 5: Solve for x
    x = 3,075,075.90/1,970.16
  6. Step 6: Final answer
    x = 1,560.83

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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.