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Finding the Fourth Proportional to 1,282.84, 1,913.33 and 1,173.52

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Solution

The fourth proportional to 1,282.84, 1,913.33 and 1,173.52 is: 1,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.84 : 1,913.33 = 1,173.52 : x
  2. Step 2: Convert to fraction form
    1,282.84/1,913.33 = 1,173.52/x
  3. Step 3: Cross multiply
    1,282.84x = 1,913.33 × 1,173.52
  4. Step 4: Simplify right side
    1,282.84x = 2,245,331.02
  5. Step 5: Solve for x
    x = 2,245,331.02/1,282.84
  6. Step 6: Final answer
    x = 1,750.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.