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Finding the Fourth Proportional to 2,052.17, 3,071.88 and 1,658.88

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Solution

The fourth proportional to 2,052.17, 3,071.88 and 1,658.88 is: 2,483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.17 : 3,071.88 = 1,658.88 : x
  2. Step 2: Convert to fraction form
    2,052.17/3,071.88 = 1,658.88/x
  3. Step 3: Cross multiply
    2,052.17x = 3,071.88 × 1,658.88
  4. Step 4: Simplify right side
    2,052.17x = 5,095,880.29
  5. Step 5: Solve for x
    x = 5,095,880.29/2,052.17
  6. Step 6: Final answer
    x = 2,483.17

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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.