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Finding the Fourth Proportional to 1,913.40, 2,869.74 and 615.24

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Solution

The fourth proportional to 1,913.40, 2,869.74 and 615.24 is: 922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.40 : 2,869.74 = 615.24 : x
  2. Step 2: Convert to fraction form
    1,913.40/2,869.74 = 615.24/x
  3. Step 3: Cross multiply
    1,913.40x = 2,869.74 × 615.24
  4. Step 4: Simplify right side
    1,913.40x = 1,765,578.84
  5. Step 5: Solve for x
    x = 1,765,578.84/1,913.40
  6. Step 6: Final answer
    x = 922.74

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