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Finding the Fourth Proportional to 2,459.84, 3,690.12 and 920.72

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Solution

The fourth proportional to 2,459.84, 3,690.12 and 920.72 is: 1,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.84 : 3,690.12 = 920.72 : x
  2. Step 2: Convert to fraction form
    2,459.84/3,690.12 = 920.72/x
  3. Step 3: Cross multiply
    2,459.84x = 3,690.12 × 920.72
  4. Step 4: Simplify right side
    2,459.84x = 3,397,567.29
  5. Step 5: Solve for x
    x = 3,397,567.29/2,459.84
  6. Step 6: Final answer
    x = 1,381.21

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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.