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Finding the Fourth Proportional to 1,852.01, 2,774.86 and 1,618.33

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Solution

The fourth proportional to 1,852.01, 2,774.86 and 1,618.33 is: 2,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.01 : 2,774.86 = 1,618.33 : x
  2. Step 2: Convert to fraction form
    1,852.01/2,774.86 = 1,618.33/x
  3. Step 3: Cross multiply
    1,852.01x = 2,774.86 × 1,618.33
  4. Step 4: Simplify right side
    1,852.01x = 4,490,639.18
  5. Step 5: Solve for x
    x = 4,490,639.18/1,852.01
  6. Step 6: Final answer
    x = 2,424.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.