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Finding the Fourth Proportional to 1,856.46, 2,785.08 and 1,033.02

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Solution

The fourth proportional to 1,856.46, 2,785.08 and 1,033.02 is: 1,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.46 : 2,785.08 = 1,033.02 : x
  2. Step 2: Convert to fraction form
    1,856.46/2,785.08 = 1,033.02/x
  3. Step 3: Cross multiply
    1,856.46x = 2,785.08 × 1,033.02
  4. Step 4: Simplify right side
    1,856.46x = 2,877,043.34
  5. Step 5: Solve for x
    x = 2,877,043.34/1,856.46
  6. Step 6: Final answer
    x = 1,549.75

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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.