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Finding the Fourth Proportional to 2,142.02, 2,955.25 and 1,302.46

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Solution

The fourth proportional to 2,142.02, 2,955.25 and 1,302.46 is: 1,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.02 : 2,955.25 = 1,302.46 : x
  2. Step 2: Convert to fraction form
    2,142.02/2,955.25 = 1,302.46/x
  3. Step 3: Cross multiply
    2,142.02x = 2,955.25 × 1,302.46
  4. Step 4: Simplify right side
    2,142.02x = 3,849,094.92
  5. Step 5: Solve for x
    x = 3,849,094.92/2,142.02
  6. Step 6: Final answer
    x = 1,796.95

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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.