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Finding the Fourth Proportional to 1,677.35, 2,517.54 and 898.01

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Solution

The fourth proportional to 1,677.35, 2,517.54 and 898.01 is: 1,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.35 : 2,517.54 = 898.01 : x
  2. Step 2: Convert to fraction form
    1,677.35/2,517.54 = 898.01/x
  3. Step 3: Cross multiply
    1,677.35x = 2,517.54 × 898.01
  4. Step 4: Simplify right side
    1,677.35x = 2,260,776.10
  5. Step 5: Solve for x
    x = 2,260,776.10/1,677.35
  6. Step 6: Final answer
    x = 1,347.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.