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Finding the Fourth Proportional to 2,096.60, 2,892.02 and 1,507.92

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Solution

The fourth proportional to 2,096.60, 2,892.02 and 1,507.92 is: 2,080.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.60 : 2,892.02 = 1,507.92 : x
  2. Step 2: Convert to fraction form
    2,096.60/2,892.02 = 1,507.92/x
  3. Step 3: Cross multiply
    2,096.60x = 2,892.02 × 1,507.92
  4. Step 4: Simplify right side
    2,096.60x = 4,360,927.26
  5. Step 5: Solve for x
    x = 4,360,927.26/2,096.60
  6. Step 6: Final answer
    x = 2,080.00

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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.