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Finding the Fourth Proportional to 2,574.96, 3,554.68 and 1,527.92

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Solution

The fourth proportional to 2,574.96, 3,554.68 and 1,527.92 is: 2,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.96 : 3,554.68 = 1,527.92 : x
  2. Step 2: Convert to fraction form
    2,574.96/3,554.68 = 1,527.92/x
  3. Step 3: Cross multiply
    2,574.96x = 3,554.68 × 1,527.92
  4. Step 4: Simplify right side
    2,574.96x = 5,431,266.67
  5. Step 5: Solve for x
    x = 5,431,266.67/2,574.96
  6. Step 6: Final answer
    x = 2,109.26

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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.