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Finding the Fourth Proportional to 2,430.84, 3,643.08 and 2,121.90

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Solution

The fourth proportional to 2,430.84, 3,643.08 and 2,121.90 is: 3,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.84 : 3,643.08 = 2,121.90 : x
  2. Step 2: Convert to fraction form
    2,430.84/3,643.08 = 2,121.90/x
  3. Step 3: Cross multiply
    2,430.84x = 3,643.08 × 2,121.90
  4. Step 4: Simplify right side
    2,430.84x = 7,730,251.45
  5. Step 5: Solve for x
    x = 7,730,251.45/2,430.84
  6. Step 6: Final answer
    x = 3,180.07

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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.