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Finding the Fourth Proportional to 1,926.68, 2,657.46 and 1,862.40

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Solution

The fourth proportional to 1,926.68, 2,657.46 and 1,862.40 is: 2,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.68 : 2,657.46 = 1,862.40 : x
  2. Step 2: Convert to fraction form
    1,926.68/2,657.46 = 1,862.40/x
  3. Step 3: Cross multiply
    1,926.68x = 2,657.46 × 1,862.40
  4. Step 4: Simplify right side
    1,926.68x = 4,949,253.50
  5. Step 5: Solve for x
    x = 4,949,253.50/1,926.68
  6. Step 6: Final answer
    x = 2,568.80

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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.