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Finding the Fourth Proportional to 1,698.51, 2,344.03 and 1,035.26

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Solution

The fourth proportional to 1,698.51, 2,344.03 and 1,035.26 is: 1,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.51 : 2,344.03 = 1,035.26 : x
  2. Step 2: Convert to fraction form
    1,698.51/2,344.03 = 1,035.26/x
  3. Step 3: Cross multiply
    1,698.51x = 2,344.03 × 1,035.26
  4. Step 4: Simplify right side
    1,698.51x = 2,426,680.50
  5. Step 5: Solve for x
    x = 2,426,680.50/1,698.51
  6. Step 6: Final answer
    x = 1,428.71

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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.