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Finding the Fourth Proportional to 2,525.09, 3,484.10 and 1,530.17

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Solution

The fourth proportional to 2,525.09, 3,484.10 and 1,530.17 is: 2,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.09 : 3,484.10 = 1,530.17 : x
  2. Step 2: Convert to fraction form
    2,525.09/3,484.10 = 1,530.17/x
  3. Step 3: Cross multiply
    2,525.09x = 3,484.10 × 1,530.17
  4. Step 4: Simplify right side
    2,525.09x = 5,331,266.36
  5. Step 5: Solve for x
    x = 5,331,266.36/2,525.09
  6. Step 6: Final answer
    x = 2,111.32

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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.