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Finding the Fourth Proportional to 1,647.52, 2,473.18 and 1,302.01

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Solution

The fourth proportional to 1,647.52, 2,473.18 and 1,302.01 is: 1,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.52 : 2,473.18 = 1,302.01 : x
  2. Step 2: Convert to fraction form
    1,647.52/2,473.18 = 1,302.01/x
  3. Step 3: Cross multiply
    1,647.52x = 2,473.18 × 1,302.01
  4. Step 4: Simplify right side
    1,647.52x = 3,220,095.65
  5. Step 5: Solve for x
    x = 3,220,095.65/1,647.52
  6. Step 6: Final answer
    x = 1,954.51

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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.