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Finding the Fourth Proportional to 2,225.48, 3,071 and 1,230.68

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Solution

The fourth proportional to 2,225.48, 3,071 and 1,230.68 is: 1,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.48 : 3,071 = 1,230.68 : x
  2. Step 2: Convert to fraction form
    2,225.48/3,071 = 1,230.68/x
  3. Step 3: Cross multiply
    2,225.48x = 3,071 × 1,230.68
  4. Step 4: Simplify right side
    2,225.48x = 3,779,418.28
  5. Step 5: Solve for x
    x = 3,779,418.28/2,225.48
  6. Step 6: Final answer
    x = 1,698.25

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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.