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Finding the Fourth Proportional to 1,777.13, 2,662.96 and 1,045.90

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Solution

The fourth proportional to 1,777.13, 2,662.96 and 1,045.90 is: 1,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.13 : 2,662.96 = 1,045.90 : x
  2. Step 2: Convert to fraction form
    1,777.13/2,662.96 = 1,045.90/x
  3. Step 3: Cross multiply
    1,777.13x = 2,662.96 × 1,045.90
  4. Step 4: Simplify right side
    1,777.13x = 2,785,189.86
  5. Step 5: Solve for x
    x = 2,785,189.86/1,777.13
  6. Step 6: Final answer
    x = 1,567.24

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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.