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Finding the Fourth Proportional to 2,530.48, 3,491.97 and 1,411.40

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Solution

The fourth proportional to 2,530.48, 3,491.97 and 1,411.40 is: 1,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.48 : 3,491.97 = 1,411.40 : x
  2. Step 2: Convert to fraction form
    2,530.48/3,491.97 = 1,411.40/x
  3. Step 3: Cross multiply
    2,530.48x = 3,491.97 × 1,411.40
  4. Step 4: Simplify right side
    2,530.48x = 4,928,566.46
  5. Step 5: Solve for x
    x = 4,928,566.46/2,530.48
  6. Step 6: Final answer
    x = 1,947.68

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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.