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Finding the Fourth Proportional to 2,377.96, 3,281.06 and 1,819.06

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Solution

The fourth proportional to 2,377.96, 3,281.06 and 1,819.06 is: 2,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.96 : 3,281.06 = 1,819.06 : x
  2. Step 2: Convert to fraction form
    2,377.96/3,281.06 = 1,819.06/x
  3. Step 3: Cross multiply
    2,377.96x = 3,281.06 × 1,819.06
  4. Step 4: Simplify right side
    2,377.96x = 5,968,445.00
  5. Step 5: Solve for x
    x = 5,968,445.00/2,377.96
  6. Step 6: Final answer
    x = 2,509.90

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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.