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Finding the Fourth Proportional to 1,695.63, 2,539.98 and 1,258.23

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Solution

The fourth proportional to 1,695.63, 2,539.98 and 1,258.23 is: 1,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.63 : 2,539.98 = 1,258.23 : x
  2. Step 2: Convert to fraction form
    1,695.63/2,539.98 = 1,258.23/x
  3. Step 3: Cross multiply
    1,695.63x = 2,539.98 × 1,258.23
  4. Step 4: Simplify right side
    1,695.63x = 3,195,879.04
  5. Step 5: Solve for x
    x = 3,195,879.04/1,695.63
  6. Step 6: Final answer
    x = 1,884.77

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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.