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Finding the Fourth Proportional to 1,771.13, 2,656.70 and 1,039.70

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Solution

The fourth proportional to 1,771.13, 2,656.70 and 1,039.70 is: 1,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.13 : 2,656.70 = 1,039.70 : x
  2. Step 2: Convert to fraction form
    1,771.13/2,656.70 = 1,039.70/x
  3. Step 3: Cross multiply
    1,771.13x = 2,656.70 × 1,039.70
  4. Step 4: Simplify right side
    1,771.13x = 2,762,176.33
  5. Step 5: Solve for x
    x = 2,762,176.33/1,771.13
  6. Step 6: Final answer
    x = 1,559.55

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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.