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Finding the Fourth Proportional to 1,618.90, 2,233.65 and 1,094.02

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Solution

The fourth proportional to 1,618.90, 2,233.65 and 1,094.02 is: 1,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.90 : 2,233.65 = 1,094.02 : x
  2. Step 2: Convert to fraction form
    1,618.90/2,233.65 = 1,094.02/x
  3. Step 3: Cross multiply
    1,618.90x = 2,233.65 × 1,094.02
  4. Step 4: Simplify right side
    1,618.90x = 2,443,657.77
  5. Step 5: Solve for x
    x = 2,443,657.77/1,618.90
  6. Step 6: Final answer
    x = 1,509.46

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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.