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Finding the Fourth Proportional to 2,099.85, 2,895.64 and 1,417.15

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Solution

The fourth proportional to 2,099.85, 2,895.64 and 1,417.15 is: 1,954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.85 : 2,895.64 = 1,417.15 : x
  2. Step 2: Convert to fraction form
    2,099.85/2,895.64 = 1,417.15/x
  3. Step 3: Cross multiply
    2,099.85x = 2,895.64 × 1,417.15
  4. Step 4: Simplify right side
    2,099.85x = 4,103,556.23
  5. Step 5: Solve for x
    x = 4,103,556.23/2,099.85
  6. Step 6: Final answer
    x = 1,954.21

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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.