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Finding the Fourth Proportional to 1,935.30, 2,901.60 and 702.12

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Solution

The fourth proportional to 1,935.30, 2,901.60 and 702.12 is: 1,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.30 : 2,901.60 = 702.12 : x
  2. Step 2: Convert to fraction form
    1,935.30/2,901.60 = 702.12/x
  3. Step 3: Cross multiply
    1,935.30x = 2,901.60 × 702.12
  4. Step 4: Simplify right side
    1,935.30x = 2,037,271.39
  5. Step 5: Solve for x
    x = 2,037,271.39/1,935.30
  6. Step 6: Final answer
    x = 1,052.69

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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.