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Finding the Fourth Proportional to 1,582.44, 2,373.65 and 657.37

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Solution

The fourth proportional to 1,582.44, 2,373.65 and 657.37 is: 986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.44 : 2,373.65 = 657.37 : x
  2. Step 2: Convert to fraction form
    1,582.44/2,373.65 = 657.37/x
  3. Step 3: Cross multiply
    1,582.44x = 2,373.65 × 657.37
  4. Step 4: Simplify right side
    1,582.44x = 1,560,358.79
  5. Step 5: Solve for x
    x = 1,560,358.79/1,582.44
  6. Step 6: Final answer
    x = 986.05

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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.