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Finding the Fourth Proportional to 2,457.07, 3,686.06 and 997.24

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Solution

The fourth proportional to 2,457.07, 3,686.06 and 997.24 is: 1,496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.07 : 3,686.06 = 997.24 : x
  2. Step 2: Convert to fraction form
    2,457.07/3,686.06 = 997.24/x
  3. Step 3: Cross multiply
    2,457.07x = 3,686.06 × 997.24
  4. Step 4: Simplify right side
    2,457.07x = 3,675,886.47
  5. Step 5: Solve for x
    x = 3,675,886.47/2,457.07
  6. Step 6: Final answer
    x = 1,496.04

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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.