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Finding the Fourth Proportional to 2,574.68, 3,551.46 and 1,526

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Solution

The fourth proportional to 2,574.68, 3,551.46 and 1,526 is: 2,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.68 : 3,551.46 = 1,526 : x
  2. Step 2: Convert to fraction form
    2,574.68/3,551.46 = 1,526/x
  3. Step 3: Cross multiply
    2,574.68x = 3,551.46 × 1,526
  4. Step 4: Simplify right side
    2,574.68x = 5,419,527.96
  5. Step 5: Solve for x
    x = 5,419,527.96/2,574.68
  6. Step 6: Final answer
    x = 2,104.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.