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Finding the Fourth Proportional to 3,492.84, 4,820.16 and 1,921

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Solution

The fourth proportional to 3,492.84, 4,820.16 and 1,921 is: 2,651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.84 : 4,820.16 = 1,921 : x
  2. Step 2: Convert to fraction form
    3,492.84/4,820.16 = 1,921/x
  3. Step 3: Cross multiply
    3,492.84x = 4,820.16 × 1,921
  4. Step 4: Simplify right side
    3,492.84x = 9,259,527.36
  5. Step 5: Solve for x
    x = 9,259,527.36/3,492.84
  6. Step 6: Final answer
    x = 2,651.00

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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.