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Finding the Fourth Proportional to 1,926, 2,657.88 and 1,402.47

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Solution

The fourth proportional to 1,926, 2,657.88 and 1,402.47 is: 1,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926 : 2,657.88 = 1,402.47 : x
  2. Step 2: Convert to fraction form
    1,926/2,657.88 = 1,402.47/x
  3. Step 3: Cross multiply
    1,926x = 2,657.88 × 1,402.47
  4. Step 4: Simplify right side
    1,926x = 3,727,596.96
  5. Step 5: Solve for x
    x = 3,727,596.96/1,926
  6. Step 6: Final answer
    x = 1,935.41

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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.