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Finding the Fourth Proportional to 3,314.08, 4,970.24 and 1,005.60

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Solution

The fourth proportional to 3,314.08, 4,970.24 and 1,005.60 is: 1,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.08 : 4,970.24 = 1,005.60 : x
  2. Step 2: Convert to fraction form
    3,314.08/4,970.24 = 1,005.60/x
  3. Step 3: Cross multiply
    3,314.08x = 4,970.24 × 1,005.60
  4. Step 4: Simplify right side
    3,314.08x = 4,998,073.34
  5. Step 5: Solve for x
    x = 4,998,073.34/3,314.08
  6. Step 6: Final answer
    x = 1,508.13

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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.