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Finding the Fourth Proportional to 2,882.40, 3,977.55 and 1,703.58

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Solution

The fourth proportional to 2,882.40, 3,977.55 and 1,703.58 is: 2,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.40 : 3,977.55 = 1,703.58 : x
  2. Step 2: Convert to fraction form
    2,882.40/3,977.55 = 1,703.58/x
  3. Step 3: Cross multiply
    2,882.40x = 3,977.55 × 1,703.58
  4. Step 4: Simplify right side
    2,882.40x = 6,776,074.63
  5. Step 5: Solve for x
    x = 6,776,074.63/2,882.40
  6. Step 6: Final answer
    x = 2,350.84

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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.