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Finding the Fourth Proportional to 1,866.96, 2,574.72 and 1,604.88

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Solution

The fourth proportional to 1,866.96, 2,574.72 and 1,604.88 is: 2,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.96 : 2,574.72 = 1,604.88 : x
  2. Step 2: Convert to fraction form
    1,866.96/2,574.72 = 1,604.88/x
  3. Step 3: Cross multiply
    1,866.96x = 2,574.72 × 1,604.88
  4. Step 4: Simplify right side
    1,866.96x = 4,132,116.63
  5. Step 5: Solve for x
    x = 4,132,116.63/1,866.96
  6. Step 6: Final answer
    x = 2,213.29

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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.