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Finding the Fourth Proportional to 1,840.40, 2,775.18 and 1,638.80

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Solution

The fourth proportional to 1,840.40, 2,775.18 and 1,638.80 is: 2,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.40 : 2,775.18 = 1,638.80 : x
  2. Step 2: Convert to fraction form
    1,840.40/2,775.18 = 1,638.80/x
  3. Step 3: Cross multiply
    1,840.40x = 2,775.18 × 1,638.80
  4. Step 4: Simplify right side
    1,840.40x = 4,547,964.98
  5. Step 5: Solve for x
    x = 4,547,964.98/1,840.40
  6. Step 6: Final answer
    x = 2,471.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.