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Finding the Fourth Proportional to 2,588.34, 3,882.51 and 2,010

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Solution

The fourth proportional to 2,588.34, 3,882.51 and 2,010 is: 3,015

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.34 : 3,882.51 = 2,010 : x
  2. Step 2: Convert to fraction form
    2,588.34/3,882.51 = 2,010/x
  3. Step 3: Cross multiply
    2,588.34x = 3,882.51 × 2,010
  4. Step 4: Simplify right side
    2,588.34x = 7,803,845.10
  5. Step 5: Solve for x
    x = 7,803,845.10/2,588.34
  6. Step 6: Final answer
    x = 3,015

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Why These Related Problems?

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