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Finding the Fourth Proportional to 1,978.61, 2,730.49 and 1,094.47

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Solution

The fourth proportional to 1,978.61, 2,730.49 and 1,094.47 is: 1,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.61 : 2,730.49 = 1,094.47 : x
  2. Step 2: Convert to fraction form
    1,978.61/2,730.49 = 1,094.47/x
  3. Step 3: Cross multiply
    1,978.61x = 2,730.49 × 1,094.47
  4. Step 4: Simplify right side
    1,978.61x = 2,988,429.83
  5. Step 5: Solve for x
    x = 2,988,429.83/1,978.61
  6. Step 6: Final answer
    x = 1,510.37

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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.