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Finding the Fourth Proportional to 2,978.30, 4,100.71 and 2,529.23

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Solution

The fourth proportional to 2,978.30, 4,100.71 and 2,529.23 is: 3,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.30 : 4,100.71 = 2,529.23 : x
  2. Step 2: Convert to fraction form
    2,978.30/4,100.71 = 2,529.23/x
  3. Step 3: Cross multiply
    2,978.30x = 4,100.71 × 2,529.23
  4. Step 4: Simplify right side
    2,978.30x = 10,371,638.75
  5. Step 5: Solve for x
    x = 10,371,638.75/2,978.30
  6. Step 6: Final answer
    x = 3,482.40

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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.