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Finding the Fourth Proportional to 1,706.66, 2,353.98 and 1,649.51

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Solution

The fourth proportional to 1,706.66, 2,353.98 and 1,649.51 is: 2,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.66 : 2,353.98 = 1,649.51 : x
  2. Step 2: Convert to fraction form
    1,706.66/2,353.98 = 1,649.51/x
  3. Step 3: Cross multiply
    1,706.66x = 2,353.98 × 1,649.51
  4. Step 4: Simplify right side
    1,706.66x = 3,882,901.78
  5. Step 5: Solve for x
    x = 3,882,901.78/1,706.66
  6. Step 6: Final answer
    x = 2,275.14

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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.