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Finding the Fourth Proportional to 1,540.60, 2,310.90 and 1,406.20

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Solution

The fourth proportional to 1,540.60, 2,310.90 and 1,406.20 is: 2,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.60 : 2,310.90 = 1,406.20 : x
  2. Step 2: Convert to fraction form
    1,540.60/2,310.90 = 1,406.20/x
  3. Step 3: Cross multiply
    1,540.60x = 2,310.90 × 1,406.20
  4. Step 4: Simplify right side
    1,540.60x = 3,249,587.58
  5. Step 5: Solve for x
    x = 3,249,587.58/1,540.60
  6. Step 6: Final answer
    x = 2,109.30

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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.