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Finding the Fourth Proportional to 1,764.21, 2,434.20 and 1,017.93

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Solution

The fourth proportional to 1,764.21, 2,434.20 and 1,017.93 is: 1,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.21 : 2,434.20 = 1,017.93 : x
  2. Step 2: Convert to fraction form
    1,764.21/2,434.20 = 1,017.93/x
  3. Step 3: Cross multiply
    1,764.21x = 2,434.20 × 1,017.93
  4. Step 4: Simplify right side
    1,764.21x = 2,477,845.21
  5. Step 5: Solve for x
    x = 2,477,845.21/1,764.21
  6. Step 6: Final answer
    x = 1,404.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.