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Finding the Fourth Proportional to 1,978.64, 2,730.54 and 1,094.52

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Solution

The fourth proportional to 1,978.64, 2,730.54 and 1,094.52 is: 1,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.64 : 2,730.54 = 1,094.52 : x
  2. Step 2: Convert to fraction form
    1,978.64/2,730.54 = 1,094.52/x
  3. Step 3: Cross multiply
    1,978.64x = 2,730.54 × 1,094.52
  4. Step 4: Simplify right side
    1,978.64x = 2,988,630.64
  5. Step 5: Solve for x
    x = 2,988,630.64/1,978.64
  6. Step 6: Final answer
    x = 1,510.45

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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.