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Finding the Fourth Proportional to 1,808.74, 2,713.54 and 510.18

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Solution

The fourth proportional to 1,808.74, 2,713.54 and 510.18 is: 765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.74 : 2,713.54 = 510.18 : x
  2. Step 2: Convert to fraction form
    1,808.74/2,713.54 = 510.18/x
  3. Step 3: Cross multiply
    1,808.74x = 2,713.54 × 510.18
  4. Step 4: Simplify right side
    1,808.74x = 1,384,393.84
  5. Step 5: Solve for x
    x = 1,384,393.84/1,808.74
  6. Step 6: Final answer
    x = 765.39

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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.