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Finding the Fourth Proportional to 1,676.16, 2,512.66 and 853.47

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Solution

The fourth proportional to 1,676.16, 2,512.66 and 853.47 is: 1,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.16 : 2,512.66 = 853.47 : x
  2. Step 2: Convert to fraction form
    1,676.16/2,512.66 = 853.47/x
  3. Step 3: Cross multiply
    1,676.16x = 2,512.66 × 853.47
  4. Step 4: Simplify right side
    1,676.16x = 2,144,479.93
  5. Step 5: Solve for x
    x = 2,144,479.93/1,676.16
  6. Step 6: Final answer
    x = 1,279.40

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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.