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Finding the Fourth Proportional to 3,070.81, 4,599.08 and 1,835.46

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Solution

The fourth proportional to 3,070.81, 4,599.08 and 1,835.46 is: 2,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.81 : 4,599.08 = 1,835.46 : x
  2. Step 2: Convert to fraction form
    3,070.81/4,599.08 = 1,835.46/x
  3. Step 3: Cross multiply
    3,070.81x = 4,599.08 × 1,835.46
  4. Step 4: Simplify right side
    3,070.81x = 8,441,425.08
  5. Step 5: Solve for x
    x = 8,441,425.08/3,070.81
  6. Step 6: Final answer
    x = 2,748.92

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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.