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Finding the Fourth Proportional to 1,911, 2,641.59 and 1,594.42

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Solution

The fourth proportional to 1,911, 2,641.59 and 1,594.42 is: 2,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911 : 2,641.59 = 1,594.42 : x
  2. Step 2: Convert to fraction form
    1,911/2,641.59 = 1,594.42/x
  3. Step 3: Cross multiply
    1,911x = 2,641.59 × 1,594.42
  4. Step 4: Simplify right side
    1,911x = 4,211,803.30
  5. Step 5: Solve for x
    x = 4,211,803.30/1,911
  6. Step 6: Final answer
    x = 2,203.98

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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.