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Finding the Fourth Proportional to 2,197.96, 3,030.90 and 1,884.28

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Solution

The fourth proportional to 2,197.96, 3,030.90 and 1,884.28 is: 2,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.96 : 3,030.90 = 1,884.28 : x
  2. Step 2: Convert to fraction form
    2,197.96/3,030.90 = 1,884.28/x
  3. Step 3: Cross multiply
    2,197.96x = 3,030.90 × 1,884.28
  4. Step 4: Simplify right side
    2,197.96x = 5,711,064.25
  5. Step 5: Solve for x
    x = 5,711,064.25/2,197.96
  6. Step 6: Final answer
    x = 2,598.35

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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.