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Finding the Fourth Proportional to 2,457.02, 3,685.53 and 725.51

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Solution

The fourth proportional to 2,457.02, 3,685.53 and 725.51 is: 1,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.02 : 3,685.53 = 725.51 : x
  2. Step 2: Convert to fraction form
    2,457.02/3,685.53 = 725.51/x
  3. Step 3: Cross multiply
    2,457.02x = 3,685.53 × 725.51
  4. Step 4: Simplify right side
    2,457.02x = 2,673,870.44
  5. Step 5: Solve for x
    x = 2,673,870.44/2,457.02
  6. Step 6: Final answer
    x = 1,088.26

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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.