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Finding the Fourth Proportional to 2,073.86, 2,858.10 and 1,758.12

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Solution

The fourth proportional to 2,073.86, 2,858.10 and 1,758.12 is: 2,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.86 : 2,858.10 = 1,758.12 : x
  2. Step 2: Convert to fraction form
    2,073.86/2,858.10 = 1,758.12/x
  3. Step 3: Cross multiply
    2,073.86x = 2,858.10 × 1,758.12
  4. Step 4: Simplify right side
    2,073.86x = 5,024,882.77
  5. Step 5: Solve for x
    x = 5,024,882.77/2,073.86
  6. Step 6: Final answer
    x = 2,422.96

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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.