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Finding the Fourth Proportional to 1,935.58, 2,903.46 and 549.02

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Solution

The fourth proportional to 1,935.58, 2,903.46 and 549.02 is: 823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.58 : 2,903.46 = 549.02 : x
  2. Step 2: Convert to fraction form
    1,935.58/2,903.46 = 549.02/x
  3. Step 3: Cross multiply
    1,935.58x = 2,903.46 × 549.02
  4. Step 4: Simplify right side
    1,935.58x = 1,594,057.61
  5. Step 5: Solve for x
    x = 1,594,057.61/1,935.58
  6. Step 6: Final answer
    x = 823.56

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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.