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Finding the Fourth Proportional to 2,525.65, 3,485.35 and 1,406.63

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Solution

The fourth proportional to 2,525.65, 3,485.35 and 1,406.63 is: 1,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.65 : 3,485.35 = 1,406.63 : x
  2. Step 2: Convert to fraction form
    2,525.65/3,485.35 = 1,406.63/x
  3. Step 3: Cross multiply
    2,525.65x = 3,485.35 × 1,406.63
  4. Step 4: Simplify right side
    2,525.65x = 4,902,597.87
  5. Step 5: Solve for x
    x = 4,902,597.87/2,525.65
  6. Step 6: Final answer
    x = 1,941.12

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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.