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Finding the Fourth Proportional to 1,777.70, 2,666.98 and 898.04

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Solution

The fourth proportional to 1,777.70, 2,666.98 and 898.04 is: 1,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.70 : 2,666.98 = 898.04 : x
  2. Step 2: Convert to fraction form
    1,777.70/2,666.98 = 898.04/x
  3. Step 3: Cross multiply
    1,777.70x = 2,666.98 × 898.04
  4. Step 4: Simplify right side
    1,777.70x = 2,395,054.72
  5. Step 5: Solve for x
    x = 2,395,054.72/1,777.70
  6. Step 6: Final answer
    x = 1,347.28

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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.