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Finding the Fourth Proportional to 2,997.60, 4,457.58 and 2,905.20

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Solution

The fourth proportional to 2,997.60, 4,457.58 and 2,905.20 is: 4,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.60 : 4,457.58 = 2,905.20 : x
  2. Step 2: Convert to fraction form
    2,997.60/4,457.58 = 2,905.20/x
  3. Step 3: Cross multiply
    2,997.60x = 4,457.58 × 2,905.20
  4. Step 4: Simplify right side
    2,997.60x = 12,950,161.42
  5. Step 5: Solve for x
    x = 12,950,161.42/2,997.60
  6. Step 6: Final answer
    x = 4,320.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.