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Finding the Fourth Proportional to 1,583.68, 2,185.62 and 1,051.62

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Solution

The fourth proportional to 1,583.68, 2,185.62 and 1,051.62 is: 1,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.68 : 2,185.62 = 1,051.62 : x
  2. Step 2: Convert to fraction form
    1,583.68/2,185.62 = 1,051.62/x
  3. Step 3: Cross multiply
    1,583.68x = 2,185.62 × 1,051.62
  4. Step 4: Simplify right side
    1,583.68x = 2,298,441.70
  5. Step 5: Solve for x
    x = 2,298,441.70/1,583.68
  6. Step 6: Final answer
    x = 1,451.33

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Why These Related Problems?

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