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Finding the Fourth Proportional to 2,762.58, 4,145.50 and 1,981.74

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Solution

The fourth proportional to 2,762.58, 4,145.50 and 1,981.74 is: 2,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.58 : 4,145.50 = 1,981.74 : x
  2. Step 2: Convert to fraction form
    2,762.58/4,145.50 = 1,981.74/x
  3. Step 3: Cross multiply
    2,762.58x = 4,145.50 × 1,981.74
  4. Step 4: Simplify right side
    2,762.58x = 8,215,303.17
  5. Step 5: Solve for x
    x = 8,215,303.17/2,762.58
  6. Step 6: Final answer
    x = 2,973.78

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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.