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Finding the Fourth Proportional to 1,762.39, 2,432.65 and 1,090.43

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Solution

The fourth proportional to 1,762.39, 2,432.65 and 1,090.43 is: 1,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.39 : 2,432.65 = 1,090.43 : x
  2. Step 2: Convert to fraction form
    1,762.39/2,432.65 = 1,090.43/x
  3. Step 3: Cross multiply
    1,762.39x = 2,432.65 × 1,090.43
  4. Step 4: Simplify right side
    1,762.39x = 2,652,630.82
  5. Step 5: Solve for x
    x = 2,652,630.82/1,762.39
  6. Step 6: Final answer
    x = 1,505.13

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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.