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Finding the Fourth Proportional to 2,870.66, 4,308.16 and 2,300.42

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Solution

The fourth proportional to 2,870.66, 4,308.16 and 2,300.42 is: 3,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.66 : 4,308.16 = 2,300.42 : x
  2. Step 2: Convert to fraction form
    2,870.66/4,308.16 = 2,300.42/x
  3. Step 3: Cross multiply
    2,870.66x = 4,308.16 × 2,300.42
  4. Step 4: Simplify right side
    2,870.66x = 9,910,577.43
  5. Step 5: Solve for x
    x = 9,910,577.43/2,870.66
  6. Step 6: Final answer
    x = 3,452.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.