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Finding the Fourth Proportional to 1,865.14, 2,574.02 and 1,119.08

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Solution

The fourth proportional to 1,865.14, 2,574.02 and 1,119.08 is: 1,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.14 : 2,574.02 = 1,119.08 : x
  2. Step 2: Convert to fraction form
    1,865.14/2,574.02 = 1,119.08/x
  3. Step 3: Cross multiply
    1,865.14x = 2,574.02 × 1,119.08
  4. Step 4: Simplify right side
    1,865.14x = 2,880,534.30
  5. Step 5: Solve for x
    x = 2,880,534.30/1,865.14
  6. Step 6: Final answer
    x = 1,544.41

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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.