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Finding the Fourth Proportional to 1,914.02, 2,870.76 and 615.32

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Solution

The fourth proportional to 1,914.02, 2,870.76 and 615.32 is: 922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.02 : 2,870.76 = 615.32 : x
  2. Step 2: Convert to fraction form
    1,914.02/2,870.76 = 615.32/x
  3. Step 3: Cross multiply
    1,914.02x = 2,870.76 × 615.32
  4. Step 4: Simplify right side
    1,914.02x = 1,766,436.04
  5. Step 5: Solve for x
    x = 1,766,436.04/1,914.02
  6. Step 6: Final answer
    x = 922.89

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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.