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Finding the Fourth Proportional to 2,196.89, 3,032.74 and 1,401.06

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Solution

The fourth proportional to 2,196.89, 3,032.74 and 1,401.06 is: 1,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.89 : 3,032.74 = 1,401.06 : x
  2. Step 2: Convert to fraction form
    2,196.89/3,032.74 = 1,401.06/x
  3. Step 3: Cross multiply
    2,196.89x = 3,032.74 × 1,401.06
  4. Step 4: Simplify right side
    2,196.89x = 4,249,063.83
  5. Step 5: Solve for x
    x = 4,249,063.83/2,196.89
  6. Step 6: Final answer
    x = 1,934.13

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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.