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Finding the Fourth Proportional to 2,970.64, 4,100.88 and 2,689.84

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Solution

The fourth proportional to 2,970.64, 4,100.88 and 2,689.84 is: 3,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.64 : 4,100.88 = 2,689.84 : x
  2. Step 2: Convert to fraction form
    2,970.64/4,100.88 = 2,689.84/x
  3. Step 3: Cross multiply
    2,970.64x = 4,100.88 × 2,689.84
  4. Step 4: Simplify right side
    2,970.64x = 11,030,711.06
  5. Step 5: Solve for x
    x = 11,030,711.06/2,970.64
  6. Step 6: Final answer
    x = 3,713.24

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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.