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Finding the Fourth Proportional to 1,417.67, 2,126.37 and 493.19

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Solution

The fourth proportional to 1,417.67, 2,126.37 and 493.19 is: 739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.67 : 2,126.37 = 493.19 : x
  2. Step 2: Convert to fraction form
    1,417.67/2,126.37 = 493.19/x
  3. Step 3: Cross multiply
    1,417.67x = 2,126.37 × 493.19
  4. Step 4: Simplify right side
    1,417.67x = 1,048,711.59
  5. Step 5: Solve for x
    x = 1,048,711.59/1,417.67
  6. Step 6: Final answer
    x = 739.74

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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.