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Finding the Fourth Proportional to 2,117.34, 2,920.34 and 1,370.72

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Solution

The fourth proportional to 2,117.34, 2,920.34 and 1,370.72 is: 1,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.34 : 2,920.34 = 1,370.72 : x
  2. Step 2: Convert to fraction form
    2,117.34/2,920.34 = 1,370.72/x
  3. Step 3: Cross multiply
    2,117.34x = 2,920.34 × 1,370.72
  4. Step 4: Simplify right side
    2,117.34x = 4,002,968.44
  5. Step 5: Solve for x
    x = 4,002,968.44/2,117.34
  6. Step 6: Final answer
    x = 1,890.56

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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.