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Finding the Fourth Proportional to 2,574.46, 3,567.70 and 2,525.23

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Solution

The fourth proportional to 2,574.46, 3,567.70 and 2,525.23 is: 3,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.46 : 3,567.70 = 2,525.23 : x
  2. Step 2: Convert to fraction form
    2,574.46/3,567.70 = 2,525.23/x
  3. Step 3: Cross multiply
    2,574.46x = 3,567.70 × 2,525.23
  4. Step 4: Simplify right side
    2,574.46x = 9,009,263.07
  5. Step 5: Solve for x
    x = 9,009,263.07/2,574.46
  6. Step 6: Final answer
    x = 3,499.48

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.