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Finding the Fourth Proportional to 2,196.16, 3,029.28 and 1,636.16

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Solution

The fourth proportional to 2,196.16, 3,029.28 and 1,636.16 is: 2,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.16 : 3,029.28 = 1,636.16 : x
  2. Step 2: Convert to fraction form
    2,196.16/3,029.28 = 1,636.16/x
  3. Step 3: Cross multiply
    2,196.16x = 3,029.28 × 1,636.16
  4. Step 4: Simplify right side
    2,196.16x = 4,956,386.76
  5. Step 5: Solve for x
    x = 4,956,386.76/2,196.16
  6. Step 6: Final answer
    x = 2,256.84

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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.