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Finding the Fourth Proportional to 3,314.40, 4,970.16 and 1,005.44

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Solution

The fourth proportional to 3,314.40, 4,970.16 and 1,005.44 is: 1,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.40 : 4,970.16 = 1,005.44 : x
  2. Step 2: Convert to fraction form
    3,314.40/4,970.16 = 1,005.44/x
  3. Step 3: Cross multiply
    3,314.40x = 4,970.16 × 1,005.44
  4. Step 4: Simplify right side
    3,314.40x = 4,997,197.67
  5. Step 5: Solve for x
    x = 4,997,197.67/3,314.40
  6. Step 6: Final answer
    x = 1,507.72

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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.