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Finding the Fourth Proportional to 2,047.04, 2,824.08 and 1,426.40

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Solution

The fourth proportional to 2,047.04, 2,824.08 and 1,426.40 is: 1,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.04 : 2,824.08 = 1,426.40 : x
  2. Step 2: Convert to fraction form
    2,047.04/2,824.08 = 1,426.40/x
  3. Step 3: Cross multiply
    2,047.04x = 2,824.08 × 1,426.40
  4. Step 4: Simplify right side
    2,047.04x = 4,028,267.71
  5. Step 5: Solve for x
    x = 4,028,267.71/2,047.04
  6. Step 6: Final answer
    x = 1,967.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.