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Finding the Fourth Proportional to 1,873.81, 2,586.92 and 1,666.18

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Solution

The fourth proportional to 1,873.81, 2,586.92 and 1,666.18 is: 2,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.81 : 2,586.92 = 1,666.18 : x
  2. Step 2: Convert to fraction form
    1,873.81/2,586.92 = 1,666.18/x
  3. Step 3: Cross multiply
    1,873.81x = 2,586.92 × 1,666.18
  4. Step 4: Simplify right side
    1,873.81x = 4,310,278.64
  5. Step 5: Solve for x
    x = 4,310,278.64/1,873.81
  6. Step 6: Final answer
    x = 2,300.27

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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.