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Finding the Fourth Proportional to 2,921.84, 4,024.32 and 2,477.04

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Solution

The fourth proportional to 2,921.84, 4,024.32 and 2,477.04 is: 3,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.84 : 4,024.32 = 2,477.04 : x
  2. Step 2: Convert to fraction form
    2,921.84/4,024.32 = 2,477.04/x
  3. Step 3: Cross multiply
    2,921.84x = 4,024.32 × 2,477.04
  4. Step 4: Simplify right side
    2,921.84x = 9,968,401.61
  5. Step 5: Solve for x
    x = 9,968,401.61/2,921.84
  6. Step 6: Final answer
    x = 3,411.69

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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.