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Finding the Fourth Proportional to 2,495.81, 3,742.10 and 935.75

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Solution

The fourth proportional to 2,495.81, 3,742.10 and 935.75 is: 1,403.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.81 : 3,742.10 = 935.75 : x
  2. Step 2: Convert to fraction form
    2,495.81/3,742.10 = 935.75/x
  3. Step 3: Cross multiply
    2,495.81x = 3,742.10 × 935.75
  4. Step 4: Simplify right side
    2,495.81x = 3,501,646.69
  5. Step 5: Solve for x
    x = 3,501,646.69/2,495.81
  6. Step 6: Final answer
    x = 1,403.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.