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Finding the Fourth Proportional to 1,803.40, 2,704.69 and 1,715.65

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Solution

The fourth proportional to 1,803.40, 2,704.69 and 1,715.65 is: 2,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.40 : 2,704.69 = 1,715.65 : x
  2. Step 2: Convert to fraction form
    1,803.40/2,704.69 = 1,715.65/x
  3. Step 3: Cross multiply
    1,803.40x = 2,704.69 × 1,715.65
  4. Step 4: Simplify right side
    1,803.40x = 4,640,301.40
  5. Step 5: Solve for x
    x = 4,640,301.40/1,803.40
  6. Step 6: Final answer
    x = 2,573.08

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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.