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Finding the Fourth Proportional to 1,677.12, 2,511.72 and 853.35

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Solution

The fourth proportional to 1,677.12, 2,511.72 and 853.35 is: 1,278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.12 : 2,511.72 = 853.35 : x
  2. Step 2: Convert to fraction form
    1,677.12/2,511.72 = 853.35/x
  3. Step 3: Cross multiply
    1,677.12x = 2,511.72 × 853.35
  4. Step 4: Simplify right side
    1,677.12x = 2,143,376.26
  5. Step 5: Solve for x
    x = 2,143,376.26/1,677.12
  6. Step 6: Final answer
    x = 1,278.01

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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.