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Finding the Fourth Proportional to 3,182.62, 4,762.65 and 2,347.71

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Solution

The fourth proportional to 3,182.62, 4,762.65 and 2,347.71 is: 3,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.62 : 4,762.65 = 2,347.71 : x
  2. Step 2: Convert to fraction form
    3,182.62/4,762.65 = 2,347.71/x
  3. Step 3: Cross multiply
    3,182.62x = 4,762.65 × 2,347.71
  4. Step 4: Simplify right side
    3,182.62x = 11,181,312.16
  5. Step 5: Solve for x
    x = 11,181,312.16/3,182.62
  6. Step 6: Final answer
    x = 3,513.24

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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.