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Finding the Fourth Proportional to 1,934.60, 2,902.34 and 702.01

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Solution

The fourth proportional to 1,934.60, 2,902.34 and 702.01 is: 1,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.60 : 2,902.34 = 702.01 : x
  2. Step 2: Convert to fraction form
    1,934.60/2,902.34 = 702.01/x
  3. Step 3: Cross multiply
    1,934.60x = 2,902.34 × 702.01
  4. Step 4: Simplify right side
    1,934.60x = 2,037,460.94
  5. Step 5: Solve for x
    x = 2,037,460.94/1,934.60
  6. Step 6: Final answer
    x = 1,053.17

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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.