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Finding the Fourth Proportional to 1,582.28, 2,370.33 and 964.46

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Solution

The fourth proportional to 1,582.28, 2,370.33 and 964.46 is: 1,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.28 : 2,370.33 = 964.46 : x
  2. Step 2: Convert to fraction form
    1,582.28/2,370.33 = 964.46/x
  3. Step 3: Cross multiply
    1,582.28x = 2,370.33 × 964.46
  4. Step 4: Simplify right side
    1,582.28x = 2,286,079.03
  5. Step 5: Solve for x
    x = 2,286,079.03/1,582.28
  6. Step 6: Final answer
    x = 1,444.80

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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.