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Finding the Fourth Proportional to 1,520.42, 2,097.08 and 931.28

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Solution

The fourth proportional to 1,520.42, 2,097.08 and 931.28 is: 1,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.42 : 2,097.08 = 931.28 : x
  2. Step 2: Convert to fraction form
    1,520.42/2,097.08 = 931.28/x
  3. Step 3: Cross multiply
    1,520.42x = 2,097.08 × 931.28
  4. Step 4: Simplify right side
    1,520.42x = 1,952,968.66
  5. Step 5: Solve for x
    x = 1,952,968.66/1,520.42
  6. Step 6: Final answer
    x = 1,284.49

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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.