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Finding the Fourth Proportional to 2,101.82, 2,900.50 and 1,157.58

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Solution

The fourth proportional to 2,101.82, 2,900.50 and 1,157.58 is: 1,597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.82 : 2,900.50 = 1,157.58 : x
  2. Step 2: Convert to fraction form
    2,101.82/2,900.50 = 1,157.58/x
  3. Step 3: Cross multiply
    2,101.82x = 2,900.50 × 1,157.58
  4. Step 4: Simplify right side
    2,101.82x = 3,357,557.90
  5. Step 5: Solve for x
    x = 3,357,557.90/2,101.82
  6. Step 6: Final answer
    x = 1,597.46

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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.