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Finding the Fourth Proportional to 2,058.70, 2,841.01 and 1,114.50

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Solution

The fourth proportional to 2,058.70, 2,841.01 and 1,114.50 is: 1,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.70 : 2,841.01 = 1,114.50 : x
  2. Step 2: Convert to fraction form
    2,058.70/2,841.01 = 1,114.50/x
  3. Step 3: Cross multiply
    2,058.70x = 2,841.01 × 1,114.50
  4. Step 4: Simplify right side
    2,058.70x = 3,166,311.72
  5. Step 5: Solve for x
    x = 3,166,311.72/2,058.70
  6. Step 6: Final answer
    x = 1,538.02

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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.