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Finding the Fourth Proportional to 2,909.93, 4,364.96 and 2,762.24

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Solution

The fourth proportional to 2,909.93, 4,364.96 and 2,762.24 is: 4,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.93 : 4,364.96 = 2,762.24 : x
  2. Step 2: Convert to fraction form
    2,909.93/4,364.96 = 2,762.24/x
  3. Step 3: Cross multiply
    2,909.93x = 4,364.96 × 2,762.24
  4. Step 4: Simplify right side
    2,909.93x = 12,057,031.47
  5. Step 5: Solve for x
    x = 12,057,031.47/2,909.93
  6. Step 6: Final answer
    x = 4,143.42

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1.5x scale

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.