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Finding the Fourth Proportional to 2,090.94, 2,885.47 and 1,146.70

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Solution

The fourth proportional to 2,090.94, 2,885.47 and 1,146.70 is: 1,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.94 : 2,885.47 = 1,146.70 : x
  2. Step 2: Convert to fraction form
    2,090.94/2,885.47 = 1,146.70/x
  3. Step 3: Cross multiply
    2,090.94x = 2,885.47 × 1,146.70
  4. Step 4: Simplify right side
    2,090.94x = 3,308,768.45
  5. Step 5: Solve for x
    x = 3,308,768.45/2,090.94
  6. Step 6: Final answer
    x = 1,582.43

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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.