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Finding the Fourth Proportional to 1,820.82, 2,510.01 and 1,427.16

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Solution

The fourth proportional to 1,820.82, 2,510.01 and 1,427.16 is: 1,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.82 : 2,510.01 = 1,427.16 : x
  2. Step 2: Convert to fraction form
    1,820.82/2,510.01 = 1,427.16/x
  3. Step 3: Cross multiply
    1,820.82x = 2,510.01 × 1,427.16
  4. Step 4: Simplify right side
    1,820.82x = 3,582,185.87
  5. Step 5: Solve for x
    x = 3,582,185.87/1,820.82
  6. Step 6: Final answer
    x = 1,967.35

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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.