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Finding the Fourth Proportional to 1,856.98, 2,785.47 and 746.91

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Solution

The fourth proportional to 1,856.98, 2,785.47 and 746.91 is: 1,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.98 : 2,785.47 = 746.91 : x
  2. Step 2: Convert to fraction form
    1,856.98/2,785.47 = 746.91/x
  3. Step 3: Cross multiply
    1,856.98x = 2,785.47 × 746.91
  4. Step 4: Simplify right side
    1,856.98x = 2,080,495.40
  5. Step 5: Solve for x
    x = 2,080,495.40/1,856.98
  6. Step 6: Final answer
    x = 1,120.37

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Why These Related Problems?

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