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Finding the Fourth Proportional to 2,457.13, 3,686.10 and 997.29

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Solution

The fourth proportional to 2,457.13, 3,686.10 and 997.29 is: 1,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.13 : 3,686.10 = 997.29 : x
  2. Step 2: Convert to fraction form
    2,457.13/3,686.10 = 997.29/x
  3. Step 3: Cross multiply
    2,457.13x = 3,686.10 × 997.29
  4. Step 4: Simplify right side
    2,457.13x = 3,676,110.67
  5. Step 5: Solve for x
    x = 3,676,110.67/2,457.13
  6. Step 6: Final answer
    x = 1,496.10

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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.