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Finding the Fourth Proportional to 2,947.79, 4,066.93 and 1,828.32

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Solution

The fourth proportional to 2,947.79, 4,066.93 and 1,828.32 is: 2,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.79 : 4,066.93 = 1,828.32 : x
  2. Step 2: Convert to fraction form
    2,947.79/4,066.93 = 1,828.32/x
  3. Step 3: Cross multiply
    2,947.79x = 4,066.93 × 1,828.32
  4. Step 4: Simplify right side
    2,947.79x = 7,435,649.46
  5. Step 5: Solve for x
    x = 7,435,649.46/2,947.79
  6. Step 6: Final answer
    x = 2,522.45

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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.