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Finding the Fourth Proportional to 2,070.93, 2,858.09 and 1,546.05

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Solution

The fourth proportional to 2,070.93, 2,858.09 and 1,546.05 is: 2,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.93 : 2,858.09 = 1,546.05 : x
  2. Step 2: Convert to fraction form
    2,070.93/2,858.09 = 1,546.05/x
  3. Step 3: Cross multiply
    2,070.93x = 2,858.09 × 1,546.05
  4. Step 4: Simplify right side
    2,070.93x = 4,418,742.31
  5. Step 5: Solve for x
    x = 4,418,742.31/2,070.93
  6. Step 6: Final answer
    x = 2,133.70

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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.