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Finding the Fourth Proportional to 1,877.47, 2,815.50 and 836.46

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Solution

The fourth proportional to 1,877.47, 2,815.50 and 836.46 is: 1,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.47 : 2,815.50 = 836.46 : x
  2. Step 2: Convert to fraction form
    1,877.47/2,815.50 = 836.46/x
  3. Step 3: Cross multiply
    1,877.47x = 2,815.50 × 836.46
  4. Step 4: Simplify right side
    1,877.47x = 2,355,039.05
  5. Step 5: Solve for x
    x = 2,355,039.05/1,877.47
  6. Step 6: Final answer
    x = 1,254.37

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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.