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Finding the Fourth Proportional to 2,970.35, 4,099.51 and 1,711.16

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Solution

The fourth proportional to 2,970.35, 4,099.51 and 1,711.16 is: 2,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.35 : 4,099.51 = 1,711.16 : x
  2. Step 2: Convert to fraction form
    2,970.35/4,099.51 = 1,711.16/x
  3. Step 3: Cross multiply
    2,970.35x = 4,099.51 × 1,711.16
  4. Step 4: Simplify right side
    2,970.35x = 7,014,897.03
  5. Step 5: Solve for x
    x = 7,014,897.03/2,970.35
  6. Step 6: Final answer
    x = 2,361.64

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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.