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Finding the Fourth Proportional to 2,809.60, 4,210.85 and 1,423.28

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Solution

The fourth proportional to 2,809.60, 4,210.85 and 1,423.28 is: 2,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.60 : 4,210.85 = 1,423.28 : x
  2. Step 2: Convert to fraction form
    2,809.60/4,210.85 = 1,423.28/x
  3. Step 3: Cross multiply
    2,809.60x = 4,210.85 × 1,423.28
  4. Step 4: Simplify right side
    2,809.60x = 5,993,232.67
  5. Step 5: Solve for x
    x = 5,993,232.67/2,809.60
  6. Step 6: Final answer
    x = 2,133.13

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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.