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Finding the Fourth Proportional to 2,926, 4,389.18 and 1,690.84

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Solution

The fourth proportional to 2,926, 4,389.18 and 1,690.84 is: 2,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926 : 4,389.18 = 1,690.84 : x
  2. Step 2: Convert to fraction form
    2,926/4,389.18 = 1,690.84/x
  3. Step 3: Cross multiply
    2,926x = 4,389.18 × 1,690.84
  4. Step 4: Simplify right side
    2,926x = 7,421,401.11
  5. Step 5: Solve for x
    x = 7,421,401.11/2,926
  6. Step 6: Final answer
    x = 2,536.36

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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.