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Finding the Fourth Proportional to 2,257.91, 3,117.90 and 1,420.07

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Solution

The fourth proportional to 2,257.91, 3,117.90 and 1,420.07 is: 1,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.91 : 3,117.90 = 1,420.07 : x
  2. Step 2: Convert to fraction form
    2,257.91/3,117.90 = 1,420.07/x
  3. Step 3: Cross multiply
    2,257.91x = 3,117.90 × 1,420.07
  4. Step 4: Simplify right side
    2,257.91x = 4,427,636.25
  5. Step 5: Solve for x
    x = 4,427,636.25/2,257.91
  6. Step 6: Final answer
    x = 1,960.94

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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.