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Finding the Fourth Proportional to 1,829.82, 2,740.80 and 788.46

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Solution

The fourth proportional to 1,829.82, 2,740.80 and 788.46 is: 1,181.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.82 : 2,740.80 = 788.46 : x
  2. Step 2: Convert to fraction form
    1,829.82/2,740.80 = 788.46/x
  3. Step 3: Cross multiply
    1,829.82x = 2,740.80 × 788.46
  4. Step 4: Simplify right side
    1,829.82x = 2,161,011.17
  5. Step 5: Solve for x
    x = 2,161,011.17/1,829.82
  6. Step 6: Final answer
    x = 1,181.00

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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.