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Finding the Fourth Proportional to 1,577.92, 2,172.84 and 1,500.16

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Solution

The fourth proportional to 1,577.92, 2,172.84 and 1,500.16 is: 2,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.92 : 2,172.84 = 1,500.16 : x
  2. Step 2: Convert to fraction form
    1,577.92/2,172.84 = 1,500.16/x
  3. Step 3: Cross multiply
    1,577.92x = 2,172.84 × 1,500.16
  4. Step 4: Simplify right side
    1,577.92x = 3,259,607.65
  5. Step 5: Solve for x
    x = 3,259,607.65/1,577.92
  6. Step 6: Final answer
    x = 2,065.76

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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.