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Finding the Fourth Proportional to 2,505.57, 3,457.35 and 1,497.27

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Solution

The fourth proportional to 2,505.57, 3,457.35 and 1,497.27 is: 2,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.57 : 3,457.35 = 1,497.27 : x
  2. Step 2: Convert to fraction form
    2,505.57/3,457.35 = 1,497.27/x
  3. Step 3: Cross multiply
    2,505.57x = 3,457.35 × 1,497.27
  4. Step 4: Simplify right side
    2,505.57x = 5,176,586.43
  5. Step 5: Solve for x
    x = 5,176,586.43/2,505.57
  6. Step 6: Final answer
    x = 2,066.03

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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.