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Finding the Fourth Proportional to 2,718.24, 4,075.84 and 869.02

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Solution

The fourth proportional to 2,718.24, 4,075.84 and 869.02 is: 1,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.24 : 4,075.84 = 869.02 : x
  2. Step 2: Convert to fraction form
    2,718.24/4,075.84 = 869.02/x
  3. Step 3: Cross multiply
    2,718.24x = 4,075.84 × 869.02
  4. Step 4: Simplify right side
    2,718.24x = 3,541,986.48
  5. Step 5: Solve for x
    x = 3,541,986.48/2,718.24
  6. Step 6: Final answer
    x = 1,303.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.