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Finding the Fourth Proportional to 2,606.34, 3,903.84 and 1,874.10

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Solution

The fourth proportional to 2,606.34, 3,903.84 and 1,874.10 is: 2,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.34 : 3,903.84 = 1,874.10 : x
  2. Step 2: Convert to fraction form
    2,606.34/3,903.84 = 1,874.10/x
  3. Step 3: Cross multiply
    2,606.34x = 3,903.84 × 1,874.10
  4. Step 4: Simplify right side
    2,606.34x = 7,316,186.54
  5. Step 5: Solve for x
    x = 7,316,186.54/2,606.34
  6. Step 6: Final answer
    x = 2,807.07

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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.