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Finding the Fourth Proportional to 2,507.85, 3,458.52 and 2,010.51

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Solution

The fourth proportional to 2,507.85, 3,458.52 and 2,010.51 is: 2,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.85 : 3,458.52 = 2,010.51 : x
  2. Step 2: Convert to fraction form
    2,507.85/3,458.52 = 2,010.51/x
  3. Step 3: Cross multiply
    2,507.85x = 3,458.52 × 2,010.51
  4. Step 4: Simplify right side
    2,507.85x = 6,953,389.05
  5. Step 5: Solve for x
    x = 6,953,389.05/2,507.85
  6. Step 6: Final answer
    x = 2,772.65

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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.