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Finding the Fourth Proportional to 2,962.62, 4,088.41 and 1,636.32

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Solution

The fourth proportional to 2,962.62, 4,088.41 and 1,636.32 is: 2,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.62 : 4,088.41 = 1,636.32 : x
  2. Step 2: Convert to fraction form
    2,962.62/4,088.41 = 1,636.32/x
  3. Step 3: Cross multiply
    2,962.62x = 4,088.41 × 1,636.32
  4. Step 4: Simplify right side
    2,962.62x = 6,689,950.82
  5. Step 5: Solve for x
    x = 6,689,950.82/2,962.62
  6. Step 6: Final answer
    x = 2,258.12

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