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Finding the Fourth Proportional to 1,810.46, 2,713.80 and 837.20

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Solution

The fourth proportional to 1,810.46, 2,713.80 and 837.20 is: 1,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.46 : 2,713.80 = 837.20 : x
  2. Step 2: Convert to fraction form
    1,810.46/2,713.80 = 837.20/x
  3. Step 3: Cross multiply
    1,810.46x = 2,713.80 × 837.20
  4. Step 4: Simplify right side
    1,810.46x = 2,271,993.36
  5. Step 5: Solve for x
    x = 2,271,993.36/1,810.46
  6. Step 6: Final answer
    x = 1,254.93

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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.