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Finding the Fourth Proportional to 2,888.42, 3,987.05 and 1,709.49

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Solution

The fourth proportional to 2,888.42, 3,987.05 and 1,709.49 is: 2,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.42 : 3,987.05 = 1,709.49 : x
  2. Step 2: Convert to fraction form
    2,888.42/3,987.05 = 1,709.49/x
  3. Step 3: Cross multiply
    2,888.42x = 3,987.05 × 1,709.49
  4. Step 4: Simplify right side
    2,888.42x = 6,815,813.56
  5. Step 5: Solve for x
    x = 6,815,813.56/2,888.42
  6. Step 6: Final answer
    x = 2,359.70

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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.