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Finding the Fourth Proportional to 1,810.94, 2,714.76 and 656.42

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Solution

The fourth proportional to 1,810.94, 2,714.76 and 656.42 is: 984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.94 : 2,714.76 = 656.42 : x
  2. Step 2: Convert to fraction form
    1,810.94/2,714.76 = 656.42/x
  3. Step 3: Cross multiply
    1,810.94x = 2,714.76 × 656.42
  4. Step 4: Simplify right side
    1,810.94x = 1,782,009.19
  5. Step 5: Solve for x
    x = 1,782,009.19/1,810.94
  6. Step 6: Final answer
    x = 984.03

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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.