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Finding the Fourth Proportional to 2,505.69, 3,457.68 and 1,497.39

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Solution

The fourth proportional to 2,505.69, 3,457.68 and 1,497.39 is: 2,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.69 : 3,457.68 = 1,497.39 : x
  2. Step 2: Convert to fraction form
    2,505.69/3,457.68 = 1,497.39/x
  3. Step 3: Cross multiply
    2,505.69x = 3,457.68 × 1,497.39
  4. Step 4: Simplify right side
    2,505.69x = 5,177,495.46
  5. Step 5: Solve for x
    x = 5,177,495.46/2,505.69
  6. Step 6: Final answer
    x = 2,066.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.