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Finding the Fourth Proportional to 2,962.60, 4,088.04 and 1,636.24

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Solution

The fourth proportional to 2,962.60, 4,088.04 and 1,636.24 is: 2,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.60 : 4,088.04 = 1,636.24 : x
  2. Step 2: Convert to fraction form
    2,962.60/4,088.04 = 1,636.24/x
  3. Step 3: Cross multiply
    2,962.60x = 4,088.04 × 1,636.24
  4. Step 4: Simplify right side
    2,962.60x = 6,689,014.57
  5. Step 5: Solve for x
    x = 6,689,014.57/2,962.60
  6. Step 6: Final answer
    x = 2,257.82

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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.