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Finding the Fourth Proportional to 2,037.13, 3,056.70 and 805.42

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Solution

The fourth proportional to 2,037.13, 3,056.70 and 805.42 is: 1,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.13 : 3,056.70 = 805.42 : x
  2. Step 2: Convert to fraction form
    2,037.13/3,056.70 = 805.42/x
  3. Step 3: Cross multiply
    2,037.13x = 3,056.70 × 805.42
  4. Step 4: Simplify right side
    2,037.13x = 2,461,934.16
  5. Step 5: Solve for x
    x = 2,461,934.16/2,037.13
  6. Step 6: Final answer
    x = 1,208.53

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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.