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Finding the Fourth Proportional to 2,525.91, 3,485.18 and 1,530.98

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Solution

The fourth proportional to 2,525.91, 3,485.18 and 1,530.98 is: 2,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.91 : 3,485.18 = 1,530.98 : x
  2. Step 2: Convert to fraction form
    2,525.91/3,485.18 = 1,530.98/x
  3. Step 3: Cross multiply
    2,525.91x = 3,485.18 × 1,530.98
  4. Step 4: Simplify right side
    2,525.91x = 5,335,741.93
  5. Step 5: Solve for x
    x = 5,335,741.93/2,525.91
  6. Step 6: Final answer
    x = 2,112.40

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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.