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Finding the Fourth Proportional to 1,668.55, 2,302.57 and 1,005.77

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Solution

The fourth proportional to 1,668.55, 2,302.57 and 1,005.77 is: 1,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.55 : 2,302.57 = 1,005.77 : x
  2. Step 2: Convert to fraction form
    1,668.55/2,302.57 = 1,005.77/x
  3. Step 3: Cross multiply
    1,668.55x = 2,302.57 × 1,005.77
  4. Step 4: Simplify right side
    1,668.55x = 2,315,845.57
  5. Step 5: Solve for x
    x = 2,315,845.57/1,668.55
  6. Step 6: Final answer
    x = 1,387.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.