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Finding the Fourth Proportional to 2,668.75, 4,005.70 and 1,283.04

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Solution

The fourth proportional to 2,668.75, 4,005.70 and 1,283.04 is: 1,925.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.75 : 4,005.70 = 1,283.04 : x
  2. Step 2: Convert to fraction form
    2,668.75/4,005.70 = 1,283.04/x
  3. Step 3: Cross multiply
    2,668.75x = 4,005.70 × 1,283.04
  4. Step 4: Simplify right side
    2,668.75x = 5,139,477.34
  5. Step 5: Solve for x
    x = 5,139,477.34/2,668.75
  6. Step 6: Final answer
    x = 1,925.80

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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.