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Finding the Fourth Proportional to 1,668.94, 2,303.35 and 1,031.27

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Solution

The fourth proportional to 1,668.94, 2,303.35 and 1,031.27 is: 1,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.94 : 2,303.35 = 1,031.27 : x
  2. Step 2: Convert to fraction form
    1,668.94/2,303.35 = 1,031.27/x
  3. Step 3: Cross multiply
    1,668.94x = 2,303.35 × 1,031.27
  4. Step 4: Simplify right side
    1,668.94x = 2,375,375.75
  5. Step 5: Solve for x
    x = 2,375,375.75/1,668.94
  6. Step 6: Final answer
    x = 1,423.28

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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.