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Finding the Fourth Proportional to 2,784.09, 3,841.93 and 1,525.13

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Solution

The fourth proportional to 2,784.09, 3,841.93 and 1,525.13 is: 2,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.09 : 3,841.93 = 1,525.13 : x
  2. Step 2: Convert to fraction form
    2,784.09/3,841.93 = 1,525.13/x
  3. Step 3: Cross multiply
    2,784.09x = 3,841.93 × 1,525.13
  4. Step 4: Simplify right side
    2,784.09x = 5,859,442.70
  5. Step 5: Solve for x
    x = 5,859,442.70/2,784.09
  6. Step 6: Final answer
    x = 2,104.62

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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.