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Finding the Fourth Proportional to 1,770.84, 2,444.52 and 1,212.12

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Solution

The fourth proportional to 1,770.84, 2,444.52 and 1,212.12 is: 1,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.84 : 2,444.52 = 1,212.12 : x
  2. Step 2: Convert to fraction form
    1,770.84/2,444.52 = 1,212.12/x
  3. Step 3: Cross multiply
    1,770.84x = 2,444.52 × 1,212.12
  4. Step 4: Simplify right side
    1,770.84x = 2,963,051.58
  5. Step 5: Solve for x
    x = 2,963,051.58/1,770.84
  6. Step 6: Final answer
    x = 1,673.25

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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.