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Finding the Fourth Proportional to 2,573.65, 3,860.02 and 1,012.51

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Solution

The fourth proportional to 2,573.65, 3,860.02 and 1,012.51 is: 1,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.65 : 3,860.02 = 1,012.51 : x
  2. Step 2: Convert to fraction form
    2,573.65/3,860.02 = 1,012.51/x
  3. Step 3: Cross multiply
    2,573.65x = 3,860.02 × 1,012.51
  4. Step 4: Simplify right side
    2,573.65x = 3,908,308.85
  5. Step 5: Solve for x
    x = 3,908,308.85/2,573.65
  6. Step 6: Final answer
    x = 1,518.59

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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.