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Finding the Fourth Proportional to 1,864.08, 2,795.76 and 709.44

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Solution

The fourth proportional to 1,864.08, 2,795.76 and 709.44 is: 1,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.08 : 2,795.76 = 709.44 : x
  2. Step 2: Convert to fraction form
    1,864.08/2,795.76 = 709.44/x
  3. Step 3: Cross multiply
    1,864.08x = 2,795.76 × 709.44
  4. Step 4: Simplify right side
    1,864.08x = 1,983,423.97
  5. Step 5: Solve for x
    x = 1,983,423.97/1,864.08
  6. Step 6: Final answer
    x = 1,064.02

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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.