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Finding the Fourth Proportional to 2,690.10, 4,035.15 and 2,430.90

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Solution

The fourth proportional to 2,690.10, 4,035.15 and 2,430.90 is: 3,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.10 : 4,035.15 = 2,430.90 : x
  2. Step 2: Convert to fraction form
    2,690.10/4,035.15 = 2,430.90/x
  3. Step 3: Cross multiply
    2,690.10x = 4,035.15 × 2,430.90
  4. Step 4: Simplify right side
    2,690.10x = 9,809,046.14
  5. Step 5: Solve for x
    x = 9,809,046.14/2,690.10
  6. Step 6: Final answer
    x = 3,646.35

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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.