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Finding the Fourth Proportional to 2,477.94, 3,712.05 and 1,697.82

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Solution

The fourth proportional to 2,477.94, 3,712.05 and 1,697.82 is: 2,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.94 : 3,712.05 = 1,697.82 : x
  2. Step 2: Convert to fraction form
    2,477.94/3,712.05 = 1,697.82/x
  3. Step 3: Cross multiply
    2,477.94x = 3,712.05 × 1,697.82
  4. Step 4: Simplify right side
    2,477.94x = 6,302,392.73
  5. Step 5: Solve for x
    x = 6,302,392.73/2,477.94
  6. Step 6: Final answer
    x = 2,543.40

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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.