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Finding the Fourth Proportional to 2,967.79, 4,454.36 and 1,582.28

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Solution

The fourth proportional to 2,967.79, 4,454.36 and 1,582.28 is: 2,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.79 : 4,454.36 = 1,582.28 : x
  2. Step 2: Convert to fraction form
    2,967.79/4,454.36 = 1,582.28/x
  3. Step 3: Cross multiply
    2,967.79x = 4,454.36 × 1,582.28
  4. Step 4: Simplify right side
    2,967.79x = 7,048,044.74
  5. Step 5: Solve for x
    x = 7,048,044.74/2,967.79
  6. Step 6: Final answer
    x = 2,374.85

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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.