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Finding the Fourth Proportional to 2,677.96, 3,695.79 and 1,559.25

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Solution

The fourth proportional to 2,677.96, 3,695.79 and 1,559.25 is: 2,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.96 : 3,695.79 = 1,559.25 : x
  2. Step 2: Convert to fraction form
    2,677.96/3,695.79 = 1,559.25/x
  3. Step 3: Cross multiply
    2,677.96x = 3,695.79 × 1,559.25
  4. Step 4: Simplify right side
    2,677.96x = 5,762,666.40
  5. Step 5: Solve for x
    x = 5,762,666.40/2,677.96
  6. Step 6: Final answer
    x = 2,151.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.