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Finding the Fourth Proportional to 2,959.61, 4,084.25 and 1,780.74

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Solution

The fourth proportional to 2,959.61, 4,084.25 and 1,780.74 is: 2,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.61 : 4,084.25 = 1,780.74 : x
  2. Step 2: Convert to fraction form
    2,959.61/4,084.25 = 1,780.74/x
  3. Step 3: Cross multiply
    2,959.61x = 4,084.25 × 1,780.74
  4. Step 4: Simplify right side
    2,959.61x = 7,272,978.44
  5. Step 5: Solve for x
    x = 7,272,978.44/2,959.61
  6. Step 6: Final answer
    x = 2,457.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.