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Finding the Fourth Proportional to 2,495.03, 3,742.51 and 956.03

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Solution

The fourth proportional to 2,495.03, 3,742.51 and 956.03 is: 1,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.03 : 3,742.51 = 956.03 : x
  2. Step 2: Convert to fraction form
    2,495.03/3,742.51 = 956.03/x
  3. Step 3: Cross multiply
    2,495.03x = 3,742.51 × 956.03
  4. Step 4: Simplify right side
    2,495.03x = 3,577,933.12
  5. Step 5: Solve for x
    x = 3,577,933.12/2,495.03
  6. Step 6: Final answer
    x = 1,434.03

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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.