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Finding the Fourth Proportional to 2,756.46, 3,803.51 and 1,637.00

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Solution

The fourth proportional to 2,756.46, 3,803.51 and 1,637.00 is: 2,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.46 : 3,803.51 = 1,637.00 : x
  2. Step 2: Convert to fraction form
    2,756.46/3,803.51 = 1,637.00/x
  3. Step 3: Cross multiply
    2,756.46x = 3,803.51 × 1,637.00
  4. Step 4: Simplify right side
    2,756.46x = 6,226,318.67
  5. Step 5: Solve for x
    x = 6,226,318.67/2,756.46
  6. Step 6: Final answer
    x = 2,258.81

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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.