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Finding the Fourth Proportional to 2,574.45, 3,858.84 and 1,013.04

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Solution

The fourth proportional to 2,574.45, 3,858.84 and 1,013.04 is: 1,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.45 : 3,858.84 = 1,013.04 : x
  2. Step 2: Convert to fraction form
    2,574.45/3,858.84 = 1,013.04/x
  3. Step 3: Cross multiply
    2,574.45x = 3,858.84 × 1,013.04
  4. Step 4: Simplify right side
    2,574.45x = 3,909,159.27
  5. Step 5: Solve for x
    x = 3,909,159.27/2,574.45
  6. Step 6: Final answer
    x = 1,518.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.