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Finding the Fourth Proportional to 3,005.02, 4,507.10 and 896.60

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Solution

The fourth proportional to 3,005.02, 4,507.10 and 896.60 is: 1,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.02 : 4,507.10 = 896.60 : x
  2. Step 2: Convert to fraction form
    3,005.02/4,507.10 = 896.60/x
  3. Step 3: Cross multiply
    3,005.02x = 4,507.10 × 896.60
  4. Step 4: Simplify right side
    3,005.02x = 4,041,065.86
  5. Step 5: Solve for x
    x = 4,041,065.86/3,005.02
  6. Step 6: Final answer
    x = 1,344.77

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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.