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Finding the Fourth Proportional to 2,495.94, 3,444.28 and 1,432.95

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Solution

The fourth proportional to 2,495.94, 3,444.28 and 1,432.95 is: 1,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.94 : 3,444.28 = 1,432.95 : x
  2. Step 2: Convert to fraction form
    2,495.94/3,444.28 = 1,432.95/x
  3. Step 3: Cross multiply
    2,495.94x = 3,444.28 × 1,432.95
  4. Step 4: Simplify right side
    2,495.94x = 4,935,491.87
  5. Step 5: Solve for x
    x = 4,935,491.87/2,495.94
  6. Step 6: Final answer
    x = 1,977.41

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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.