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Finding the Fourth Proportional to 1,528.35, 2,109.14 and 898.89

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Solution

The fourth proportional to 1,528.35, 2,109.14 and 898.89 is: 1,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.35 : 2,109.14 = 898.89 : x
  2. Step 2: Convert to fraction form
    1,528.35/2,109.14 = 898.89/x
  3. Step 3: Cross multiply
    1,528.35x = 2,109.14 × 898.89
  4. Step 4: Simplify right side
    1,528.35x = 1,895,884.85
  5. Step 5: Solve for x
    x = 1,895,884.85/1,528.35
  6. Step 6: Final answer
    x = 1,240.48

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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.