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Finding the Fourth Proportional to 1,856.34, 2,564.24 and 1,485.90

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Solution

The fourth proportional to 1,856.34, 2,564.24 and 1,485.90 is: 2,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.34 : 2,564.24 = 1,485.90 : x
  2. Step 2: Convert to fraction form
    1,856.34/2,564.24 = 1,485.90/x
  3. Step 3: Cross multiply
    1,856.34x = 2,564.24 × 1,485.90
  4. Step 4: Simplify right side
    1,856.34x = 3,810,196.79
  5. Step 5: Solve for x
    x = 3,810,196.79/1,856.34
  6. Step 6: Final answer
    x = 2,052.53

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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.