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Finding the Fourth Proportional to 2,525.58, 3,486.09 and 2,053.10

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Solution

The fourth proportional to 2,525.58, 3,486.09 and 2,053.10 is: 2,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.58 : 3,486.09 = 2,053.10 : x
  2. Step 2: Convert to fraction form
    2,525.58/3,486.09 = 2,053.10/x
  3. Step 3: Cross multiply
    2,525.58x = 3,486.09 × 2,053.10
  4. Step 4: Simplify right side
    2,525.58x = 7,157,276.64
  5. Step 5: Solve for x
    x = 7,157,276.64/2,525.58
  6. Step 6: Final answer
    x = 2,833.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.