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Finding the Fourth Proportional to 1,856.95, 2,564.33 and 1,482.73

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Solution

The fourth proportional to 1,856.95, 2,564.33 and 1,482.73 is: 2,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.95 : 2,564.33 = 1,482.73 : x
  2. Step 2: Convert to fraction form
    1,856.95/2,564.33 = 1,482.73/x
  3. Step 3: Cross multiply
    1,856.95x = 2,564.33 × 1,482.73
  4. Step 4: Simplify right side
    1,856.95x = 3,802,195.20
  5. Step 5: Solve for x
    x = 3,802,195.20/1,856.95
  6. Step 6: Final answer
    x = 2,047.55

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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.