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Finding the Fourth Proportional to 2,269.29, 3,130.74 and 1,384.95

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Solution

The fourth proportional to 2,269.29, 3,130.74 and 1,384.95 is: 1,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.29 : 3,130.74 = 1,384.95 : x
  2. Step 2: Convert to fraction form
    2,269.29/3,130.74 = 1,384.95/x
  3. Step 3: Cross multiply
    2,269.29x = 3,130.74 × 1,384.95
  4. Step 4: Simplify right side
    2,269.29x = 4,335,918.36
  5. Step 5: Solve for x
    x = 4,335,918.36/2,269.29
  6. Step 6: Final answer
    x = 1,910.69

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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.