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Finding the Fourth Proportional to 1,768.05, 2,434.32 and 1,347.05

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Solution

The fourth proportional to 1,768.05, 2,434.32 and 1,347.05 is: 1,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.05 : 2,434.32 = 1,347.05 : x
  2. Step 2: Convert to fraction form
    1,768.05/2,434.32 = 1,347.05/x
  3. Step 3: Cross multiply
    1,768.05x = 2,434.32 × 1,347.05
  4. Step 4: Simplify right side
    1,768.05x = 3,279,156.84
  5. Step 5: Solve for x
    x = 3,279,156.84/1,768.05
  6. Step 6: Final answer
    x = 1,854.67

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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.