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Finding the Fourth Proportional to 3,133.02, 4,700.27 and 941.70

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Solution

The fourth proportional to 3,133.02, 4,700.27 and 941.70 is: 1,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.02 : 4,700.27 = 941.70 : x
  2. Step 2: Convert to fraction form
    3,133.02/4,700.27 = 941.70/x
  3. Step 3: Cross multiply
    3,133.02x = 4,700.27 × 941.70
  4. Step 4: Simplify right side
    3,133.02x = 4,426,244.26
  5. Step 5: Solve for x
    x = 4,426,244.26/3,133.02
  6. Step 6: Final answer
    x = 1,412.77

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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.