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Finding the Fourth Proportional to 2,269.48, 3,140.88 and 2,214.94

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Solution

The fourth proportional to 2,269.48, 3,140.88 and 2,214.94 is: 3,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.48 : 3,140.88 = 2,214.94 : x
  2. Step 2: Convert to fraction form
    2,269.48/3,140.88 = 2,214.94/x
  3. Step 3: Cross multiply
    2,269.48x = 3,140.88 × 2,214.94
  4. Step 4: Simplify right side
    2,269.48x = 6,956,860.75
  5. Step 5: Solve for x
    x = 6,956,860.75/2,269.48
  6. Step 6: Final answer
    x = 3,065.40

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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.