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Finding the Fourth Proportional to 1,516.78, 2,094.29 and 928.11

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Solution

The fourth proportional to 1,516.78, 2,094.29 and 928.11 is: 1,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.78 : 2,094.29 = 928.11 : x
  2. Step 2: Convert to fraction form
    1,516.78/2,094.29 = 928.11/x
  3. Step 3: Cross multiply
    1,516.78x = 2,094.29 × 928.11
  4. Step 4: Simplify right side
    1,516.78x = 1,943,731.49
  5. Step 5: Solve for x
    x = 1,943,731.49/1,516.78
  6. Step 6: Final answer
    x = 1,281.49

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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.