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Finding the Fourth Proportional to 2,288.71, 3,159.50 and 1,461.19

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Solution

The fourth proportional to 2,288.71, 3,159.50 and 1,461.19 is: 2,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.71 : 3,159.50 = 1,461.19 : x
  2. Step 2: Convert to fraction form
    2,288.71/3,159.50 = 1,461.19/x
  3. Step 3: Cross multiply
    2,288.71x = 3,159.50 × 1,461.19
  4. Step 4: Simplify right side
    2,288.71x = 4,616,629.81
  5. Step 5: Solve for x
    x = 4,616,629.81/2,288.71
  6. Step 6: Final answer
    x = 2,017.13

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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.