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Finding the Fourth Proportional to 2,155.88, 2,974.38 and 1,762.76

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Solution

The fourth proportional to 2,155.88, 2,974.38 and 1,762.76 is: 2,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.88 : 2,974.38 = 1,762.76 : x
  2. Step 2: Convert to fraction form
    2,155.88/2,974.38 = 1,762.76/x
  3. Step 3: Cross multiply
    2,155.88x = 2,974.38 × 1,762.76
  4. Step 4: Simplify right side
    2,155.88x = 5,243,118.09
  5. Step 5: Solve for x
    x = 5,243,118.09/2,155.88
  6. Step 6: Final answer
    x = 2,432.01

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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.