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Finding the Fourth Proportional to 1,780.46, 2,457.99 and 1,192

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Solution

The fourth proportional to 1,780.46, 2,457.99 and 1,192 is: 1,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.46 : 2,457.99 = 1,192 : x
  2. Step 2: Convert to fraction form
    1,780.46/2,457.99 = 1,192/x
  3. Step 3: Cross multiply
    1,780.46x = 2,457.99 × 1,192
  4. Step 4: Simplify right side
    1,780.46x = 2,929,924.08
  5. Step 5: Solve for x
    x = 2,929,924.08/1,780.46
  6. Step 6: Final answer
    x = 1,645.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.