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Finding the Fourth Proportional to 2,962.84, 4,090.03 and 1,768.24

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Solution

The fourth proportional to 2,962.84, 4,090.03 and 1,768.24 is: 2,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.84 : 4,090.03 = 1,768.24 : x
  2. Step 2: Convert to fraction form
    2,962.84/4,090.03 = 1,768.24/x
  3. Step 3: Cross multiply
    2,962.84x = 4,090.03 × 1,768.24
  4. Step 4: Simplify right side
    2,962.84x = 7,232,155.34
  5. Step 5: Solve for x
    x = 7,232,155.34/2,962.84
  6. Step 6: Final answer
    x = 2,440.95

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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.