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Finding the Fourth Proportional to 1,511.61, 2,267.34 and 853.39

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Solution

The fourth proportional to 1,511.61, 2,267.34 and 853.39 is: 1,280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.61 : 2,267.34 = 853.39 : x
  2. Step 2: Convert to fraction form
    1,511.61/2,267.34 = 853.39/x
  3. Step 3: Cross multiply
    1,511.61x = 2,267.34 × 853.39
  4. Step 4: Simplify right side
    1,511.61x = 1,934,925.28
  5. Step 5: Solve for x
    x = 1,934,925.28/1,511.61
  6. Step 6: Final answer
    x = 1,280.04

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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.