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Finding the Fourth Proportional to 2,303.84, 3,447.72 and 1,655.84

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Solution

The fourth proportional to 2,303.84, 3,447.72 and 1,655.84 is: 2,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.84 : 3,447.72 = 1,655.84 : x
  2. Step 2: Convert to fraction form
    2,303.84/3,447.72 = 1,655.84/x
  3. Step 3: Cross multiply
    2,303.84x = 3,447.72 × 1,655.84
  4. Step 4: Simplify right side
    2,303.84x = 5,708,872.68
  5. Step 5: Solve for x
    x = 5,708,872.68/2,303.84
  6. Step 6: Final answer
    x = 2,477.98

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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.