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Finding the Fourth Proportional to 1,926, 2,657.44 and 1,395.68

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Solution

The fourth proportional to 1,926, 2,657.44 and 1,395.68 is: 1,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926 : 2,657.44 = 1,395.68 : x
  2. Step 2: Convert to fraction form
    1,926/2,657.44 = 1,395.68/x
  3. Step 3: Cross multiply
    1,926x = 2,657.44 × 1,395.68
  4. Step 4: Simplify right side
    1,926x = 3,708,935.86
  5. Step 5: Solve for x
    x = 3,708,935.86/1,926
  6. Step 6: Final answer
    x = 1,925.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.