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Finding the Fourth Proportional to 2,967.62, 4,454.06 and 1,582.10

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Solution

The fourth proportional to 2,967.62, 4,454.06 and 1,582.10 is: 2,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.62 : 4,454.06 = 1,582.10 : x
  2. Step 2: Convert to fraction form
    2,967.62/4,454.06 = 1,582.10/x
  3. Step 3: Cross multiply
    2,967.62x = 4,454.06 × 1,582.10
  4. Step 4: Simplify right side
    2,967.62x = 7,046,746.06
  5. Step 5: Solve for x
    x = 7,046,746.06/2,967.62
  6. Step 6: Final answer
    x = 2,374.55

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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.