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Finding the Fourth Proportional to 1,777.99, 2,663.12 and 1,466.35

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Solution

The fourth proportional to 1,777.99, 2,663.12 and 1,466.35 is: 2,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.99 : 2,663.12 = 1,466.35 : x
  2. Step 2: Convert to fraction form
    1,777.99/2,663.12 = 1,466.35/x
  3. Step 3: Cross multiply
    1,777.99x = 2,663.12 × 1,466.35
  4. Step 4: Simplify right side
    1,777.99x = 3,905,066.01
  5. Step 5: Solve for x
    x = 3,905,066.01/1,777.99
  6. Step 6: Final answer
    x = 2,196.34

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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.