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Finding the Fourth Proportional to 1,718.71, 2,371.81 and 1,011

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Solution

The fourth proportional to 1,718.71, 2,371.81 and 1,011 is: 1,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.71 : 2,371.81 = 1,011 : x
  2. Step 2: Convert to fraction form
    1,718.71/2,371.81 = 1,011/x
  3. Step 3: Cross multiply
    1,718.71x = 2,371.81 × 1,011
  4. Step 4: Simplify right side
    1,718.71x = 2,397,899.91
  5. Step 5: Solve for x
    x = 2,397,899.91/1,718.71
  6. Step 6: Final answer
    x = 1,395.17

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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.