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Finding the Fourth Proportional to 2,482.92, 3,730.32 and 2,335.50

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Solution

The fourth proportional to 2,482.92, 3,730.32 and 2,335.50 is: 3,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.92 : 3,730.32 = 2,335.50 : x
  2. Step 2: Convert to fraction form
    2,482.92/3,730.32 = 2,335.50/x
  3. Step 3: Cross multiply
    2,482.92x = 3,730.32 × 2,335.50
  4. Step 4: Simplify right side
    2,482.92x = 8,712,162.36
  5. Step 5: Solve for x
    x = 8,712,162.36/2,482.92
  6. Step 6: Final answer
    x = 3,508.84

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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.