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Finding the Fourth Proportional to 2,101.55, 2,900.12 and 1,157.34

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Solution

The fourth proportional to 2,101.55, 2,900.12 and 1,157.34 is: 1,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.55 : 2,900.12 = 1,157.34 : x
  2. Step 2: Convert to fraction form
    2,101.55/2,900.12 = 1,157.34/x
  3. Step 3: Cross multiply
    2,101.55x = 2,900.12 × 1,157.34
  4. Step 4: Simplify right side
    2,101.55x = 3,356,426.34
  5. Step 5: Solve for x
    x = 3,356,426.34/2,101.55
  6. Step 6: Final answer
    x = 1,597.12

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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.