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Finding the Fourth Proportional to 2,968.07, 4,089.15 and 2,377.58

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Solution

The fourth proportional to 2,968.07, 4,089.15 and 2,377.58 is: 3,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.07 : 4,089.15 = 2,377.58 : x
  2. Step 2: Convert to fraction form
    2,968.07/4,089.15 = 2,377.58/x
  3. Step 3: Cross multiply
    2,968.07x = 4,089.15 × 2,377.58
  4. Step 4: Simplify right side
    2,968.07x = 9,722,260.81
  5. Step 5: Solve for x
    x = 9,722,260.81/2,968.07
  6. Step 6: Final answer
    x = 3,275.62

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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.