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Finding the Fourth Proportional to 2,762.69, 4,142.21 and 1,117.31

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Solution

The fourth proportional to 2,762.69, 4,142.21 and 1,117.31 is: 1,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.69 : 4,142.21 = 1,117.31 : x
  2. Step 2: Convert to fraction form
    2,762.69/4,142.21 = 1,117.31/x
  3. Step 3: Cross multiply
    2,762.69x = 4,142.21 × 1,117.31
  4. Step 4: Simplify right side
    2,762.69x = 4,628,106.36
  5. Step 5: Solve for x
    x = 4,628,106.36/2,762.69
  6. Step 6: Final answer
    x = 1,675.22

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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.