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Finding the Fourth Proportional to 1,931.51, 2,665.62 and 1,861.81

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Solution

The fourth proportional to 1,931.51, 2,665.62 and 1,861.81 is: 2,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.51 : 2,665.62 = 1,861.81 : x
  2. Step 2: Convert to fraction form
    1,931.51/2,665.62 = 1,861.81/x
  3. Step 3: Cross multiply
    1,931.51x = 2,665.62 × 1,861.81
  4. Step 4: Simplify right side
    1,931.51x = 4,962,871.31
  5. Step 5: Solve for x
    x = 4,962,871.31/1,931.51
  6. Step 6: Final answer
    x = 2,569.42

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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.