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Finding the Fourth Proportional to 2,477.92, 3,717.49 and 1,748.92

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Solution

The fourth proportional to 2,477.92, 3,717.49 and 1,748.92 is: 2,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.92 : 3,717.49 = 1,748.92 : x
  2. Step 2: Convert to fraction form
    2,477.92/3,717.49 = 1,748.92/x
  3. Step 3: Cross multiply
    2,477.92x = 3,717.49 × 1,748.92
  4. Step 4: Simplify right side
    2,477.92x = 6,501,592.61
  5. Step 5: Solve for x
    x = 6,501,592.61/2,477.92
  6. Step 6: Final answer
    x = 2,623.81

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1.5x scale

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.