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Finding the Fourth Proportional to 1,701.71, 2,552.61 and 661.47

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Solution

The fourth proportional to 1,701.71, 2,552.61 and 661.47 is: 992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.71 : 2,552.61 = 661.47 : x
  2. Step 2: Convert to fraction form
    1,701.71/2,552.61 = 661.47/x
  3. Step 3: Cross multiply
    1,701.71x = 2,552.61 × 661.47
  4. Step 4: Simplify right side
    1,701.71x = 1,688,467.84
  5. Step 5: Solve for x
    x = 1,688,467.84/1,701.71
  6. Step 6: Final answer
    x = 992.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.