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Finding the Fourth Proportional to 1,282.06, 1,913.72 and 1,100.62

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Solution

The fourth proportional to 1,282.06, 1,913.72 and 1,100.62 is: 1,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.06 : 1,913.72 = 1,100.62 : x
  2. Step 2: Convert to fraction form
    1,282.06/1,913.72 = 1,100.62/x
  3. Step 3: Cross multiply
    1,282.06x = 1,913.72 × 1,100.62
  4. Step 4: Simplify right side
    1,282.06x = 2,106,278.51
  5. Step 5: Solve for x
    x = 2,106,278.51/1,282.06
  6. Step 6: Final answer
    x = 1,642.89

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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.