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Finding the Fourth Proportional to 2,073.60, 3,104.64 and 1,045.44

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Solution

The fourth proportional to 2,073.60, 3,104.64 and 1,045.44 is: 1,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.60 : 3,104.64 = 1,045.44 : x
  2. Step 2: Convert to fraction form
    2,073.60/3,104.64 = 1,045.44/x
  3. Step 3: Cross multiply
    2,073.60x = 3,104.64 × 1,045.44
  4. Step 4: Simplify right side
    2,073.60x = 3,245,714.84
  5. Step 5: Solve for x
    x = 3,245,714.84/2,073.60
  6. Step 6: Final answer
    x = 1,565.26

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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.