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Finding the Fourth Proportional to 1,762.42, 2,432.64 and 1,063.84

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Solution

The fourth proportional to 1,762.42, 2,432.64 and 1,063.84 is: 1,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.42 : 2,432.64 = 1,063.84 : x
  2. Step 2: Convert to fraction form
    1,762.42/2,432.64 = 1,063.84/x
  3. Step 3: Cross multiply
    1,762.42x = 2,432.64 × 1,063.84
  4. Step 4: Simplify right side
    1,762.42x = 2,587,939.74
  5. Step 5: Solve for x
    x = 2,587,939.74/1,762.42
  6. Step 6: Final answer
    x = 1,468.40

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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.