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Finding the Fourth Proportional to 2,133.02, 2,940.16 and 1,423.46

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Solution

The fourth proportional to 2,133.02, 2,940.16 and 1,423.46 is: 1,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.02 : 2,940.16 = 1,423.46 : x
  2. Step 2: Convert to fraction form
    2,133.02/2,940.16 = 1,423.46/x
  3. Step 3: Cross multiply
    2,133.02x = 2,940.16 × 1,423.46
  4. Step 4: Simplify right side
    2,133.02x = 4,185,200.15
  5. Step 5: Solve for x
    x = 4,185,200.15/2,133.02
  6. Step 6: Final answer
    x = 1,962.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.