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Finding the Fourth Proportional to 2,098.48, 2,895.72 and 1,214.33

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Solution

The fourth proportional to 2,098.48, 2,895.72 and 1,214.33 is: 1,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.48 : 2,895.72 = 1,214.33 : x
  2. Step 2: Convert to fraction form
    2,098.48/2,895.72 = 1,214.33/x
  3. Step 3: Cross multiply
    2,098.48x = 2,895.72 × 1,214.33
  4. Step 4: Simplify right side
    2,098.48x = 3,516,359.67
  5. Step 5: Solve for x
    x = 3,516,359.67/2,098.48
  6. Step 6: Final answer
    x = 1,675.67

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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.