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Finding the Fourth Proportional to 1,582.08, 2,370.49 and 963.92

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Solution

The fourth proportional to 1,582.08, 2,370.49 and 963.92 is: 1,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.08 : 2,370.49 = 963.92 : x
  2. Step 2: Convert to fraction form
    1,582.08/2,370.49 = 963.92/x
  3. Step 3: Cross multiply
    1,582.08x = 2,370.49 × 963.92
  4. Step 4: Simplify right side
    1,582.08x = 2,284,962.72
  5. Step 5: Solve for x
    x = 2,284,962.72/1,582.08
  6. Step 6: Final answer
    x = 1,444.28

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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.