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Finding the Fourth Proportional to 1,969.61, 2,718.08 and 1,085.40

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Solution

The fourth proportional to 1,969.61, 2,718.08 and 1,085.40 is: 1,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.61 : 2,718.08 = 1,085.40 : x
  2. Step 2: Convert to fraction form
    1,969.61/2,718.08 = 1,085.40/x
  3. Step 3: Cross multiply
    1,969.61x = 2,718.08 × 1,085.40
  4. Step 4: Simplify right side
    1,969.61x = 2,950,204.03
  5. Step 5: Solve for x
    x = 2,950,204.03/1,969.61
  6. Step 6: Final answer
    x = 1,497.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.