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Finding the Fourth Proportional to 2,670.66, 4,006.38 and 1,575.54

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Solution

The fourth proportional to 2,670.66, 4,006.38 and 1,575.54 is: 2,363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.66 : 4,006.38 = 1,575.54 : x
  2. Step 2: Convert to fraction form
    2,670.66/4,006.38 = 1,575.54/x
  3. Step 3: Cross multiply
    2,670.66x = 4,006.38 × 1,575.54
  4. Step 4: Simplify right side
    2,670.66x = 6,312,211.95
  5. Step 5: Solve for x
    x = 6,312,211.95/2,670.66
  6. Step 6: Final answer
    x = 2,363.54

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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.