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Finding the Fourth Proportional to 1,935.58, 2,903.37 and 702.76

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Solution

The fourth proportional to 1,935.58, 2,903.37 and 702.76 is: 1,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.58 : 2,903.37 = 702.76 : x
  2. Step 2: Convert to fraction form
    1,935.58/2,903.37 = 702.76/x
  3. Step 3: Cross multiply
    1,935.58x = 2,903.37 × 702.76
  4. Step 4: Simplify right side
    1,935.58x = 2,040,372.30
  5. Step 5: Solve for x
    x = 2,040,372.30/1,935.58
  6. Step 6: Final answer
    x = 1,054.14

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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.