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Finding the Fourth Proportional to 3,071.84, 4,602.90 and 1,685.12

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Solution

The fourth proportional to 3,071.84, 4,602.90 and 1,685.12 is: 2,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.84 : 4,602.90 = 1,685.12 : x
  2. Step 2: Convert to fraction form
    3,071.84/4,602.90 = 1,685.12/x
  3. Step 3: Cross multiply
    3,071.84x = 4,602.90 × 1,685.12
  4. Step 4: Simplify right side
    3,071.84x = 7,756,438.85
  5. Step 5: Solve for x
    x = 7,756,438.85/3,071.84
  6. Step 6: Final answer
    x = 2,525.01

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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.