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Finding the Fourth Proportional to 2,985.32, 4,478.22 and 1,253

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Solution

The fourth proportional to 2,985.32, 4,478.22 and 1,253 is: 1,879.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.32 : 4,478.22 = 1,253 : x
  2. Step 2: Convert to fraction form
    2,985.32/4,478.22 = 1,253/x
  3. Step 3: Cross multiply
    2,985.32x = 4,478.22 × 1,253
  4. Step 4: Simplify right side
    2,985.32x = 5,611,209.66
  5. Step 5: Solve for x
    x = 5,611,209.66/2,985.32
  6. Step 6: Final answer
    x = 1,879.60

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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.