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Finding the Fourth Proportional to 1,937.29, 2,905.99 and 476.46

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Solution

The fourth proportional to 1,937.29, 2,905.99 and 476.46 is: 714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.29 : 2,905.99 = 476.46 : x
  2. Step 2: Convert to fraction form
    1,937.29/2,905.99 = 476.46/x
  3. Step 3: Cross multiply
    1,937.29x = 2,905.99 × 476.46
  4. Step 4: Simplify right side
    1,937.29x = 1,384,588.00
  5. Step 5: Solve for x
    x = 1,384,588.00/1,937.29
  6. Step 6: Final answer
    x = 714.70

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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.