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Finding the Fourth Proportional to 2,495.75, 3,444.15 and 1,433.56

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Solution

The fourth proportional to 2,495.75, 3,444.15 and 1,433.56 is: 1,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.75 : 3,444.15 = 1,433.56 : x
  2. Step 2: Convert to fraction form
    2,495.75/3,444.15 = 1,433.56/x
  3. Step 3: Cross multiply
    2,495.75x = 3,444.15 × 1,433.56
  4. Step 4: Simplify right side
    2,495.75x = 4,937,395.67
  5. Step 5: Solve for x
    x = 4,937,395.67/2,495.75
  6. Step 6: Final answer
    x = 1,978.32

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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.