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Finding the Fourth Proportional to 2,409.63, 3,325.64 and 1,525.51

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Solution

The fourth proportional to 2,409.63, 3,325.64 and 1,525.51 is: 2,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.63 : 3,325.64 = 1,525.51 : x
  2. Step 2: Convert to fraction form
    2,409.63/3,325.64 = 1,525.51/x
  3. Step 3: Cross multiply
    2,409.63x = 3,325.64 × 1,525.51
  4. Step 4: Simplify right side
    2,409.63x = 5,073,302.19
  5. Step 5: Solve for x
    x = 5,073,302.19/2,409.63
  6. Step 6: Final answer
    x = 2,105.43

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1.5x scale

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.