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Finding the Fourth Proportional to 1,582.11, 2,373.77 and 657.43

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Solution

The fourth proportional to 1,582.11, 2,373.77 and 657.43 is: 986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.11 : 2,373.77 = 657.43 : x
  2. Step 2: Convert to fraction form
    1,582.11/2,373.77 = 657.43/x
  3. Step 3: Cross multiply
    1,582.11x = 2,373.77 × 657.43
  4. Step 4: Simplify right side
    1,582.11x = 1,560,583.32
  5. Step 5: Solve for x
    x = 1,560,583.32/1,582.11
  6. Step 6: Final answer
    x = 986.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.